I'll chime in on the first and third threads in question here.

• TIL Genghis Khan forbade the selling of women, theft of other's properties, decreed religious freedom, outlawed hunting during breeding seasons, and exempted the poor from taxation.

This one is interesting. I had to dig through several books that eventually cited an original source. Jack Weatherford's Genghis Khan and the Making of the Modern World says:

Because haggling over the value of a wife as though she were a camel could provoke lingering dissension among his men, he forbade the selling of a woman into marriage.

Weatherford cited Paul Ratchnevsky's Genghis Khan: His Life and Times, but when I consulted that work...I found only a section on robbery. As /u/Muleo pointed out, the Great Yasa has only been pieced together. This may have been an assumption by Weatherford, but I would have to ask him about his source material for this point.

Regarding theft, Paul Ratchnevsky's book says the following:

Genghis Khan brought to the task of establishing peace and order throughout the empire the same merciless severity with which he enforced discipline in the army. Robbery and plundering, a facet of nomad life and the cause of continual campaigns of revenge and feuds between tribes and clans, hindered international trade, in which the herdsmen had a vital interest.

Ratchnevsky cites two authors, Peng Daya and Plano Carpini. The two documents he cites are:

Peng Daya and Xu tin: Hei-Da shilüe, ed. Wang Guowei.

Plano Carpini, Johannes de: Ystoriya Mongalorum quos nos Tartaros apellamus, Sinica Franciscana, vol. I.

Note that these are not complete citations and I wouldn't use them in your paper. I would cite Ratchnevsky's book if you are using that bit of information.

Next let's tackle religious freedom

Paul Ratchnevsky has two pages dedicated to Genghis Khan's religious policies. In a nutshell, he did issue a decree of religious freedom. He did respect other religions, but continue to practice the shamanistic faith of his homeland. The caveat here is that he was not afraid to punish a professional practitioner of any religion if it suited his needs. For example, he executed his own shaman when it seemed he was getting too powerful. Ratchnevsky again cites a source, but I'd cite the book if I were you.

Hunting during breeding season you say?

This seems to be true too. Jack Weatherford says:

Genghis Khan codified existing ideals by forbidding the hunting of animals between March and October during the breeding time. By protecting the animals in the summer, Genghis Khan also provided a safety net for the winter, and hunters had to limit their kill to what they needed for food and no more.

Weatherford cites the Secret History, though he used the Francis Cleaves translation of the document, so it would have different page numbers from the other translation cited in this thread.

Exempting the poor from taxation

I looked through all of my books at hand and through some sources I have saved online. I can't find much about this point. Most of the sources I looked at agree that religious institutions and priests, shamans, etc were exempted from taxes. David Morgan's The Mongols says this:

The purpose of the taxes imposed on the conquered populations was quite simply the maximum conceivable degree of exploitation. There was little pretence that in Mongol eyes their subjects had any justification for their existence except as producers of revenue. As a rule exploitation was only limited by the consideration that it was sensible to leave the peasants sufficient to permit their survival till the next year, sk that a further year's taxes could be levied.

Morgan doesn't cite a source for this information, so I think we're out of luck on this point.

I should point out here that it is mostly agreed that the laws of the Great Yasa were written as a response to the problems that Genghis Khan witnessed. He understood that stealing wives needed to be outlawed. His own wife was stolen from him and he probably remembered how harrowing that journey was to get her back. I can provide more examples if necessary, but I think you get the gist here.

• TIL that when Genghis Khan sent a trade caravan to the Khwarezmid empire, the governor of one city seized it and killed the traders. Genghis Khan retaliated by invading the empire with 200,000 men and killing the governor by pouring molten silver down his eyes and mouth

So, the part about sending a trade caravan and the Shah killing the men is true. It is also true that he invaded the empire. I wrote about it in this thread. Paul Ratchnesky says that the Sultan fled his city and was chased by Jebe and Subotai. He eventually died of pneumonia on a small island in the Caspian Sea in 1221. I would agree with Ratchnevsky on this point. The war took place, but the pouring silver in his eyes did not. The story sounds familiar though, so maybe it was someone else? I'll have to do more digging, but for the time being...these are my thoughts on the matter.

If you need more context or explanation, I'm happy to help! Good luck with your paper!

Sources for further reading and research:

Genghis Khan: His Life and Legacy by Paul Ratchnevsky

Genghis Khan: Conqueror of the World by Leo de Hartog

The Mongols by David Morgan

Genghis Khan and Mongol Rule by George Lane

Genghis Khan and the Making of the Modern World by Jack Weatherford

The History of the Mongol Conquests by J. J. Saunders

EDIT: Clarification of source materials

• TIL that during a battle Genghis Khan was shot in the neck, after the battle he asked the defeated who shot him, Zurgadai confessed to shooting him but refused to beg for mercy. Genghis Khan then made him one of his troops and eventually he went on to become one of his high ranking generals.

The 'refused to beg for mercy' isn't true. The Secret Histories, chapter 4 of Urgunge Onon's translation:

In the fighting, Chinggis Qahan had been wounded in the neck. His attempts to stanch the bleeding failed, so he became anxious. After sunset, they pitched camp right next to each other, on the spot [where they fought together]. Jelme sucked and sucked at the clotted blood [in Chinggis Qahan’s wound] [until] his mouth was bloodied.

...

Again Chinggis Qahan said: ‘We were fighting [the enemy] at Köyiten, slowly forcing each other to give ground, and deploying our troops when, from on top of that range, came an arrow that broke the nape of my yellow warhorse with the white mouth. Who shot [that arrow] from the mountain top?’ Jebe replied: ‘I shot the arrow from the mountain top. If I am to be put to death by the Qahan, then I shall be left to rot on a piece of ground [the size of] the palm [of a hand]. But if I am granted [mercy], then I shall go ahead on behalf of the Qahan.

I will attack for you:
I will slash the deep waters
and erode the shining stone.
At your word, I will go forwards
and smash the blue stones.
If you order me to attack,
I will smash the black stones.
I will attack for you.

Chinggis Qahan said: ‘[Faced with] those he has killed and with his enemies, the enemy hides and tells lies. [Here,] however, the contrary is true. [Faced with] those he has killed and with his enemies, [this man] does not deny [his feelings and his actions]. On the contrary, he admits them. [This] is a man to [have] as a companion. His name was Jirqo’adai, but because he shot at the nape of my yellow war-horse with the white mouth, he shall be called Jebe and I shall use him as an arrow.’ [So] he was called Jebe and ordered to walk at [Chinggis Qahan’s] side. This is how Jebe left the Tayichi’uts and became [Chinggis Qahan’s] companion.

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