This is a good idea. I'm actually not sure why I never thought to order the games before, but I'll add something to order them by game time.
I think you're definitely right here. The green check does seem to imply that you got that one right. I'll make a change there. I like the green check/red X idea, and I'll do something else to indicate picks in incomplete game. Actually, a blue dot sounds fine to me. I'll definitely make a change here.
I like the idea of adding something to indicate your points gained from each game too, but it's not likely to be something that's a mouse-over action because over half of the people who visit this site are on mobile devices and those have no mouse-over so I try to keep mouse-over actions to a bare minimum. Again, we'll make a change of some sort here.
This should be simple enough to make, but I'm thinking it might be a bit redundant with the pick distribution page changes. Let's see how that goes once I have a chance to get those changes made.