Honestly with a 14" screen, id probably prefer the 720p screen. #1 screen size is smaller than full hd wont make noticeable difference. Yet #2 importantly, games play better when settings are set to actual screen resolution. Being set at 720p will give you a big fps boost while playing games vs the 1080p. And if you go to settings and manually make Gameplay 720p instead of 1080p, it normally gives you a smaller box in the screen for Gameplay, vs full screen.
With the y410p, you should be be able to use 720p and get medium to high settings while playable frames.
OP, really looks like this laptop for you budget and needs is going to be the absolute best thing for you. Like I said before, its not a A+, lower price nets you less than top notch product, but I'm not saying the Lenovo is crap, I'ts just not going to be $2000 rock solid.