Awwww bless, she will see cat as a litter mate and as your cat is so young they will probably grow up really well together although I kind of have this image of either the dog thinking its a cat or the cat thinking its a dog
Yes go to her if you want to but treat it like yuo would a young child who gets up a lot at night. Leave her for as long as you can, don't talk to her when you go in, let her out for a wee, put her straight back to bed. Try standing near the cage with the lights out so she knows you are there and then slowly move further away till you are out of the room.
I spent a few nights actually on the kitchen floor!!
Pink collar sounds great. Maisie has a pink leather collar but she went in the river and the colour run, turning her white chest and nexk bright pink