I have gray tree frogs, during the day they really barely move at all, sometimes not at all. At night, the shy frogs that I have tend to take longer to wake up, it has to be very dark and quiet before they'll hop around. The one wasnt feeding during the day for a while, so I started putting him in a critter keeper with a couple of crickets and covered it with a blanket. Usually I would find a couple of the crickets were gone then.

Shedding often is normal, especially if you have 2 frogs in there.