Protected vaginal = zero risk. Even unprotected oral carries almost no risk, and with protection the risk is below zero. There is no chance you caught any STD and pubic area shaving doesn't make enough difference to worry about. Nobody can say there isn't some slight chance of HPV or HSV from the genital area skin contact above the condom, but in STD clinics we rarely see people with new warts or herpes in that area, and even more rarely see them show up first in the pubic area, where you shaved.
Direct answers to your questions therefore are: 1) No measurable risk. 2) Near zero. 3) Two types, HPV-6 and 11, cause 90% of genital warts. 4) Most of the 100+ HPV types cause no warts and no other symptoms. 5) Logically washing might help, but not necessarily. There are no data. 6) Unlikely; see above.
It's useless to worry about HPV. As a sexually active person, you have been infected before now and you are going to be infected again. The frequency of HPV is no higher in sex workers than in any other women you're likely to meet. You need to look at HPV as inevitable, unavoidable, and almost entirely harmless. Herpes is more of an issue, but the chance of that is simply too low to worry about in the circumstance you describe.
Bottom line: Let the whole thing go. You're fine.
Best wishes-- HHH, MD