If you had protected sex, you had no risk for anything except genital herpes, HPV and syphilis, and those are all very small risks.
I wouldn't worry about any of them if you haven't had symptoms. If you are still worried, the only thing I'd bother testing for now is syphilis, which is a simple blood test. There is no test for HPV, and the blood tests for herpes can give false positives if you are even able to get them where you live. It isn't worth testing if you haven't had symptoms, since your risk is so low.
Kissing with your mouth closed if she doesn't have sores is really not a risk. It's possible to get oral herpes, but again, if you haven't had symptoms, I wouldn't worry.