Your basking spot needs to be hotter and needs to stay at the same temp all day. 105F - 108F for babies. Your little one might be 2 mo old but I don't think much older and it's great that he's shedding, as he should be! The Reptisun is a good light, just make sure it's replaced every 6 mo at the latest, as the light degrades over time.
Are you dusting his bugs with calcium and also with vitamin/min? The calcium should be done for 5 feedings and the vit/min for 2 feedings per week.
Baths are also important, so a
bath every 2nd day for babies is recommended as they can dehydrate very quickly. 20 min warm
bath every 2nd day. When I had babies, I gave them baths every morning, as I found it helped their shedding which was often.
Sounds like you're doing well with your little one!