Diet changes through a turtles life. In the first year are in the carnivorous stage / high protein due to how fast the grow. By juvenile (growth slows down some) diet changes to the veggie side and adult stage will be 50-70% veggies with protein every other day.
Look here under nutrition for the 2/3’s rule works for any age :
http://www.redearslider.com/pellets.htmlAlso look under safe plant/veggie article too.
Don't give in to the begging , all captive turtles do it to some point. The older they get only better at begging. Play with them instead to get there minds off food once daily amount is given. They see you as a food source and will try to get you to give more. Make sure no one in house is feeding too. If so setup the 2/3’s rule using something like a seven day pill box. Once the days amount is out no more. That 2/3’s rule is for a day not at each feeding.
If you setup is perfect I say no ointment for now. Keep observing . Babies will shed several times in the first year. That's also how they get rid of problems and or imperfections not just for growing. You may not even notice it due to being small pieces and almost translucent. When older ( 2-3 years old ) becomes tinted and easier to see the keratin shed .
Possible on toenail. Also baby turtles (all turtles) are so curious they use there heads to help dig things up not just using there claws. May get some minor cuts here and there but all will heal if habitat is setup correct along with proper maintenance.
Pictures of setup will help with details to see if going in a good direction or I/we have list of questions if answered will help too.
Sounds like they are doing turtle things together , enjoy it now. Separation will be needed once sexually mature in most cases !