I am wondering if you can help me?

I have recently been offered a TAG Heuer F1 Chronograph which I believe dates from between 1991 and 95? It is in real good condition.

It is currently on a leather strap, I have the original metal strap which I intend to use.

Could you tell whether this is a fake or genuine, as I am worried that there is no serial number on the back.

If it is genuine, what would be a fair price?

Thanks for your help.