Hey it is hot for the age of your cham but veiled chams can tolerate those temps at an adult age. I would change the reptile basking light for a clear glass incandescent house bulb. Experiment with 40 to 60 watts to find a good temp. watch for heat spikes in the later hours of the day. Ones your cham starts eating, aim for the lowest temp that still yields a well digested poop. I would just go with a 12 hr photoperiod. No longer. jmo
Pertaining to your chams appetite, dont handle your chameleon for at least a week. This will give a sufficient amount of time for your cham to settle in. Even after that, id keep the handling to once a week, max. Maybe dont offer any food for a day or 2. If theyre not willing to eat, crix in the cage can become another stress factor. I gutload with kale, collard greens, sweet potato, red and yellow peppers, carrot, apple, orange, prickly pear cactus, papaya, dried plain oatmeal, dried plain mixed nuts, dried egg yolk, spirulina and bee pollen. If I had to choose 4 ingredients of all those, Id go with collards, sweet potato, carrot and dried oats.
As for the eyes being closed it is very possible that your cham has some debris in the eye turret. Possibly the fan is kicking up some dust? Debris in the turret is aided by extended and increased misting sessions. if that doesnt work, try to put a plant in the shower and make the water bounce off the wall before it hits the foliage. Keep the water at room temp and let your cham stay in the plant for a good half hour. If that doesnt work, eyes closing during the day can signify something more serious. I would let whoever you bought this cham from know about this eye closing issue before it goes on any longer.
Good luck.