The foot rash could be a form of eczema called dyshidrosis. There is no cause for this, and no treatment is needed. I'm not sure what the mouth bumps are, but they aren't the same thing. This does not sound like a sexually-transmitted disease. or anything contagious. I can't diagnose it from a distance, of course, so I think that for peace of mind, it would be worth a single visit to a doctor, since one visit should be all it takes to find out what it is and treat it.
Take care.
Dr. Rockoff