Paint is peeling off when I lift masking tape! Help!

I painted before, but never had such a problem. Painted the bedroom and bath..and taped the ceiling with 2" 3M masking tape. I ran out of the role before I finished bedroom and after I finished bath. Went to Lowe's and bought brand new roll of 3M, taped the other 3 sides of the ceiling, painted walls, but when I pulled off the old tape it left glue residue on the ceiling and was pulling of some of the wall paint with it too. The new 3M tape I applied did not stick that much and I have less of the problem.
I still don't even dare to pull off the old tape from bathroom ceiling as I am sure it will do the same damage.
It is a disaster.. What should I do? How do I fix the spots where paint is pulled off without repainting the whole room? Thanks.