Strange. What I see on your screens looks all good. Only you still have no log file...
Which shadermodel do you use ingame?
Do you have in-game AA activated? (just to be sure)
Also don't use any overlay program like FRAPS (but I think you don't because it should then crash Rome2)
Last idea would be to install Netframeworks 4.5.1 too (just incase you just have 4.5.2) and also maybe 32-bit versions of vcredist
At the moment I really don't know how to help you anymore. Sorry man no idea!
Hopfully LH can check into this and give you any advise as, like I said, I am running out of ideas...
EDIT:
lol it took me too long to respond
you need 25 posts for editing...
do you use shadermodel 3? other than that you probably are missing any NETframe or vcredist...