For a full game I usually get 800+, so 2 full games give be a 1000+ a little extra. Being quick to click the animals (like when they still have smoke around them, or even better when it's almost all smoke) is the best way to get higher points, and possibly a higher amount of "Awesome!"s. Although I usually get flawless, and maybe awesome like once or twice, that's tough. Just make sure you get every animal that appears, and click on them as centered as possible and you're bound to get flawless 90% of the time, at least for me.
There are guides to ruling JC on old forums from back in the day pros, try looking some up if you really want too.