Was the city actually founded by Trojan refugees, were Romulus and Remus real people or at least based on real people, Was the city founded around 800-700 BC, etc.
As you are waiting you might read some earlier answers on this subject. It seems the answer to most of your questions is 'no'.
On the Trojan origin of Rome:
On the Regal period:
Further answers by our users are appreciated, of course