This is Dr. David. I have read your question and am ready to help.
STD testing can be done 10 days after exposure.
you can get HIV DNA or RNA PCR testing 10-20 days post exposure. these are 98-99% accurate
you can get gonorrhea, chlamydia, syphilis testing right away.
to test for herpes antibody testing, you have to wait 3-6 months for your body to develop antibodies to herpes.
chances of contracting HIV from a broken condom and unprotected vaginal sex is small, only 5 in 10,000 chance if she has HIV
the tingling and itch at the end of the urethra most likely is due to irritation from the urine
like from caffeine or alcohol in your diet
do you drink caffeine or alcohol which could irritate your urethra?