Welcome to the forum.
HIV testing is rarely needed after any single exposure, especially heterosexual -- except when especially high risk, e.g. with a known infected partner. And in this instance the risk is especially low, since it is statistically unlikely your partner had HIV (in the United States, even among the most sexually active women, on average no more than 1 in 1,000 women have HIV); and you used a condom (smart move!). It's hard to miss a ruptured condom; you would have known. And hand-genital contact is never a risk, even when genital secretions are used as lubrication. To your specific question:
1) We don't participate in unlikely speculation, i.e. I do not assume your partner had HIV. But even if she did, this was a no-risk sexual exposure for all practical purposes.
2) From a risk perspective, you don't need testing. Of course you are free to do it if these words don't resolve your fears, i.e. if you need the additional reassurance of a negative test result.
3) The standard antibody tests are reliable after 6-8 weeks; or a duo test (for both HIV antibody and p24 antigen) at 4 weeks. See
http://www.medhelp.org/posts/show/1704700
4) As long as the head of the penis and urethral opening remain covered, protection against HIV is complete.
I'm sorry to hear your very first sexual experience has led to such anxiety. But you really need not be concerned. Your risk of HIV is virtually zero.
Best regards-- HHH, MD