This is normal. I don't think tiny kitten scratches should bother mom too much, though you would obviously want to watch for signs of infection. Signs would be extreme redness or pus. You can post a photo if you'd like an opinion.
That is from kitten claws. You'll want to put some veggie oil on it and the nipples, but it should heal. Next, very carefully trim the kittens nails. Kittens can be born with some long claws already, and these are too long!
Just clip the very tips off - no further. You can probably get by with human nail clippers at the moment, and pick up cat clippers at Walmart or a pet store later for when the claws get harder and bigger. Should be easy to clip the front paws right now though. Clip them whenever they seem long and sharp.