the gecko hasn't eaten in the month that you've had it? the toe problems are from stuck shed like derek said. you need to provide a humid hide in his enclosure, soak him in lukewarm water for about 10 minutes and then apply betadine to his toes.

call a vet tomorrow morning and get him looked at. he likely has parasites and will need a fecal done in order to diagnose and treat them. parasites would explain not eating. the vet should also be able to help remove the stuck shed and may give you some cream to put on the raw areas.