Yes, you can wait for the Coinomi update, should be out soon.
No you shouldnt have to rename folders, if you have the wallet running you could just leave it for a couple of days to sync, thats what I did.
Patience is a virtue they say...
If you are talking about the newyorkc-qt.exe file you downloaded from the website there is nothing to extract. You download it, place it where you want it, can even be on your desktop and you run it.