Hi, basking temp is good now, what's the cool side temp? Is he basking on his own much? Have you tried handfeeding any crickets? If not, I suggest you try that. Does he close his eyes & just sit there when you put the crickets in? If so, you could also put a few in a ziploc bag & place in the frig to slow them down a little. Have you bathed him at all? Babies can get dehydrated very quickly & misting doesn't really totally
hydrate them. You could even hold him in the palm of your hand with his lower body slanted downward so that his vent area (where he poos) is right down in the water for 15 min or so. Test the water temp by the inside of your wrist, you want it warm but not hot. That's good that he drank some water off his nose, that will help.
See how his appetite is tomorrow with the slightly increased temps. Might be a good idea to pick up some squash & chicken or turkey babyfood in case his appetite isn't better tomorrow. OK?