I'll let the other members critique your setup, but a few things I can tell you before they do, is that hide is wrong. BP's love to feel secure, and that hide has two openings. You need to get something that has one opening and is big enough for the bp to feel secure in, they like to fit snuggly in things.'
Those are exo terra reptile cave's and they come in many different sizes. They are wonderful, especially if you're BP is still small, though you can plan ahead and get a medium or large one and it'll last awhile. The only have one entrance so they are more secure, but when your BP gets bigger you'll have to do some sort of plastic hide where you cut out a hole and sand it so it's smooth. That'll be awhile down the road though. Also if you're going to give a hide I always give two, that way they can choose what side of the tank they want to be on, because naturally one side of the tank will be hotter or cooler than the other side. I don't know how much your BP will actually use that tree you have, and it's just taking up space. The next thing is the background is pretty useless and just takes up space. You would honestly done better with a 10 gallon long or 20 gallon long and had more room for the snake. That's a nice setup but I don't think I've ever really seen BP's climb up a lot, now if you had like a tree python or boa then it would be more useful.
EDIT:
You also want to provide a water dish, something like this but get the appropriate size:
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