If you haven't heard of it before check out the ball python genetic wizard. It let's you pick different morphs and shows you what you will get when breeding.
As for feeding outside the tub. I do with all of mine. Some people say yes and some say no but I always do and that's my choice. I don't think there's much of a benefit to ether it's just the way iv always done it and iv never had an issue.
As for temps younger royals seek cooler temps more than adults but it's still important to get the temps right. I would see if you could bump it up just a little.
And for the rat temp. Get a temp gun to check the temp of the rat and you'll never have to touch it.
Good luck and congratulations on becoming a royal owner
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