baby cottontail rabbit

Question
I don't have a question about the domestic rabbit, but a wild rabbit. I believe this is a cottontail rabbit, and I have done much research. I know they are illegal to keep, but as a current member of PETA and am a very serious animal activist-I have no choice but to try to help it.
At first, I thought "no big deal" this will be easy.. but in fact, this is actually a project. The problem that I am currently having is I am not exact if the animal still takes milk or eats grass and such. It actually eats both. I'm very concerned about how much it should eat (the websites say 2 times a day), but it seems that the rabbit is eating somewhat, but not enough. I try to feed it milk and it will eat it for about 3 minutes and then stop. And when I try to feed it again, it won't take it anymore, and then fall asleep. She seems to be eating grass quite well, but again, I'm not sure it is enough. She seems happy, and she hops around and somewhat plays, but she is very skinny, and her stomach never feels full.
Along with the previous question, I have another. How much floor time should I give her, and what amount of time is enough. Since she is from the wild, I try to give her as much time as I can. But when I pick her up, she falls asleep. I noticed she is actually wide awake at about 9pm-3am., but my time is actually not quite the same as hers. do you have any suggestions?

Answer
When I've taken in baby cottontails, I feed them KMR twice a day, until they stop eating.  When they are ready to wean, I use grass, alfalfa hay, and they also like whole oats like in the Old Fashioned Quaker Oats containers.

It may be she thinks she is full, and therefore isn't eating more.  Wild rabbits tend to be thinner than domesticated ones because they aren't being fed pellets several times a day.

I've never actually given cottontails time out of the cage until I released them back into the wild.  But, she may have associated being picked up with being fed, and automatically goes into that position.  Can she just hop out of the cage herself?

And yes, rabbits tend to be awake more at dawn and dusk, but like other young animals don't yet have an established routine.

If she eats and drinks and plays, she would be acting normal for a rabbit, so just continue what you are doing until you decide if you are going to release her or keep her.

Kim