Can a mouse be housed in a critter keeper and am i careing for him properly so far?

ok so i have a ball python and i buy 2 live mice every two weeks and one got out of the cardboard box that pet smart or co gives u to transport the animal anyway so he got out and ran around my moms house (im 11 so i cant spend a ton of money i looked up every thing he will need and the total was like 85 bucks) but i found him with peanut butter (put some on a paper plate and ur set) ive had hamsters fancy mice g-pigs (have one now) and rats also rabbits im a junior herp and own dogs horses g-pig leopard geckos bp and a bird but now i have a little mouse he is pure white so he is an albino if im not mistaking and ive grown really attached so please dont say oh just feed him to ur snake or dogs i named him tike or tot if u want u can suggest which u like better so i got a critter keeper used to hold my crickets a small animal igloo a water bowl and food bowl i gave him some special k and gerbil and hamster food once i earn enough money (my mom told me after getting my bp no more pets but i begged she said ok u buy everything but she said shed spend 10 bucks, my horses r over 1200 a month so i dont blame her would u???) i will go out and buy a mouse or rat cage toys food i have yogurt treats for my g-pig and all the other nessicaries but i did gender him and its a male he seems pretty happy he spends most of his day burrowing which is normal bcuz their nocturnal but do i need to do anything different its been a while since i had any of my mice since i got horses and a guinea pig i left them out and didnt have time to play with them much but i have time now please tell me if any thing needs to b done different and if i need to do anything more thx have a nice day and godbless