As for your rash and neuropathy- they are not STDs nor
HIV related. the neuropathy of
HIV you mention is a figure for late stage
HIV which takes years ( a decade or more) to occur.
Personally, I think your risk is so low that getting testing is a waste of time. Realizing however that here is a large component of anxiety operative here, you should go on and get tested ASAP so you can put this behind you. Hope this helps.