His temps and humidity are perfect, based off the research I've done, cool side being anywhere from 79-83 and the warmer side being 89-91, humidity fluctuates between 50 - 65%.
What kind of a thermometer are you using to measure temps? How are you heating the enclosure?
ETA: Mouse and even rat pinkies are too small a meal for a BP, hatchlings can eat rat fuzzies at least, if not pups.