Will this laptop be able to run most games?

It should run it maybe but not very well or near high settings. i would spend 650 on building your own desktop pc if you want to game or buy an xbox one. either would be WAYYYYYY better than that labtop.
 

This, the 740M is guaranteed to run all those games on very high settings.
 
http://www.pcspecialist.co.uk/notebooks/cosmosII/
configure this as you need.
a gtx 850M runs circles around anything in this price range.
with £650 you can get a 1080p screen, 8GB RAM, I5 processor and gtx 850M.
happy gaming.