Red Eyed Tree Frog has dark spot that bleeds

[Gomugomuking]

Hello everybody, im harrison, a new owner of two Red-Eyed Tree Frog's. i got them on friday and they are beautiful. last night (saturday) i stayed up and watched the smaller one climb all around the tank. and i am sure he got a hold of a cricket or two because he looks quite stuffed. any how the other one, the big guy has not moved since i put him in there. i understand that this is normalish and that frogs need some time to adjust to their new home. and each frog is a little different from the next. this morning i was a little worried because both frogs were opening their mouths over and over again. but after some research i figured out that they both were shedding. and the little one did great and climbed around after and went up into his corner where he likes it. however when the big guy was rubbing his skin with his feet i noticed a dark brown/blackish spot on his upper back. i figured it was just dirt so i sprayed him and let it be. well when i got home today it looked to me as the spot might have grown and maybe got darker as well. so i wet a q-tip and tried ever so gently to rub it off. well it didnt rub off like dirt but he did start to bleed out of it. then i noticed a similiar spot on the point by the vent between his back legs. some people say that the black is dead skin? which that makes sense since he was shedding. but he was bleeding from both spots. (very little but still it was blood) i am worried it might be a fungus or infection? i applied some neosporin on the spots with a q-tip. i would say he looks quite a bit skinnier since i got him on friday. anyways what do you think i should do? thank you.