-your right to not let your cat put yet especially as it's age etc.
-If your worried about going away get it a fluffy yet slightly flat plushy or something that is bigger than it, I did this with my cat when I got her and it definitely helped as it gives them the comfort of a mother.
-it's better to get one of the other people in your house to feed her as she would normally, as if you just leave a pile of food it will most likely be gone within a day.
-yep just keeping her in your/a room is fine as long as there is food, water, toys etc. I do this with my cat all the time especially when she was little.
-even though you have a litter box stil be prepared for the odd accident or two especially at this age
Hope I helped