I can't guarantee that the extent of the softening is normal and you should definitely talk to your doctor, but in the meantime, you should know that estrogen does lead to softer, more delicate skin.
The best thing you can do in the meantime, whether your situation is of serious medical concern or not, is to be more gentle with yourself. But it is pretty normal for women and female-bodied people to get mild cuts and scrapes from things like copy machines and other hard objects. I'm not a Band-Aid user myself (my skin heals better when it can breathe and is kept dry), but if I were, I'd probably have gone through thousands in my adult life.
If you have nails past the ends of your fingertips and you are developing feminine skin (also good advice if you're frequently touching someone with feminine skin) make sure that you're not just clipping them off sharp - filing and buffing the edges and corners isn't just for looks, it's for safety. Lots of girls do nail maintenance daily, and most seem to keep at least an emery board with them most of the time in case they break or tear a nail. You could also just have them done at fingertip length.
