It will definitely sting. On the flip side (speaking as someone who is a touch sadistic) if you have an infection in those cuts hydrogen peroxide will kill off the infection. Some infections will also froth up in a morbidly fascinating way as well when hydrogen peroxide is applied to them.
yep it burn a little
The nail polish remover will hurt. Honestly I'd put some Neosporin on it . Hydrogen proxide doesn't hurt me. It stings for a split second.. Try to hold off until the cuts heal more. :)