As an adult, the only risks for HIV are:
1) having unprotected, penetrative vaginal or anal sex, or
2) sharing IV drug needles with other IV drug users.
If you don't do either of those activities, you will NEVER have to worry about HIV. Nothing else you can think of, including the event you described, is a risk for HIV. There isn't any detail you could add to this event to make it a risk for HIV.
No comment on the rashes as you had no risk for HIV, and thus, any rashes would be unrelated.