Hello and thanks for your post,
In a previous discussion on testing I posted this:
With HIV, it's usually recommended to wait at least three months after the last potential exposure to test (to give antibodies a chance to develop in detectable quantities), and blood tests for herpes are usually ok 12-16 weeks after exposure. Chlamydia and gonorrhea testing should also be good within the timeframe you mentioned.
Syphillis blood tests should be done no sooner than three months after a risky encounter. Blood work for Hepatitis B is generally reliable within 9 weeks (most will test accurately in about 4 weeks). Sometimes Hep C is also tested for (usually if the partner is diagnosed, rather than a general "what if?" screening), and the window here is around three months.
Ask your healthcare provider what testing, and when, they advise based on your circumstances.
However i had fingered her and after while i used the same hands to change my condoms. At this point I had touched the inside of new condom while rolling it ON. Also some part of the upper shaft was not covered(one away from the tip). What are chances of beig exposed to infection HIV/AIDS/STD/STI?
I don't know how to size up how much risk, if any, exists in this specific scenario but in general, hands are an unlikely means of transmitting STIs. You're smart to be thinking about a general STI screening, but the risks of contracting HIV from handling the condom is probably slight at best.
Hope this helps,