Sorry about the condom breaking. If the condom broke while you were inside her virgina then you would have been exposed to all std,s. But not implying that you caught all stds as such a brief encounter does reduce your risks consideraly. As for the itching inside your uretha is a symptom of a UTI and itching is a common symptom for chlaymida but with these there should be some kind of urethea puss discharge. For sure see a doctor about this and consult him his opinon for std testing on the other stds. If you were in a long term relationship then testing for all stds would be recommended.
Have you seen a doctor? Had any testing?
From unprotected oral, and the condom breaking, you have the chance of having an infection. It could be gonorrhea, chlamydia, NGU, trich, or maybe it's a urinary tract infection. If hand sanitizer got in your urethra, that could cause problems - it's not meant to be used genitally, and it does absolutely nothing to prevent infections.
The nausea is probably nerves, for sure, but get to a doctor and get checked out. Go to a doctor and don't do an online thing, because they won't check for a UTI or white blood cells in your urine, which is what determines NGU.