Cross-posting to /r/whatisthisthing, by the way
These pins may or may not be fake, but they at least look like they are realish. The story of these pins and the hat is in this post
As of now the people of Imgur have identified the hat (a Soviet-era Afgan Field hat, apparently), but all the pins still are mysterious.
If anyone could help me out with figuring out what all these pins mean, that would be so great.
This first one seems to be an "excellence in military" pin
Correct.
This one looks like a athletic pin of sorts?
Soldier distinguished for 1st grade sport achievements.
As does this one
2nd and 3rd grade sport achievements.
This one is the most mysterious
Ministry of Defense's all-state society of hunters. Similar pin: http://forum.faleristika.info/viewtopic.php?t=284161
This last guy was on the front of the hat
Definitely not USSR, two-headed eagle was banned as a Tsardom symbol. It's something from modern Russia.
And this bonus one
It's a manufacturer's mark. LPO "Ladoga", "Sovremennitsa" manufacture, 1990, size(?) 55, first grade assured by quality department #1.