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I will try to solve your query so that all your doubts are cleared.
First, to get infected with HIV first your partner needs to be HIV positive. The chances of your partner being HIV positive depends on the type of partner. If your partner is a commercial sex worker the chances are increased as compared to others.
Secondly, the use of any protection. If you are using condom definitely chances are lower. Thirdly, if there is a contact of your blood or fluid with the partners fluid. This means if you have any injuries prior or during sex and your blood get mixed with partners blood, there are higher chances. Lastly, even when all the previous points get fulfilled there my be a chance that you might not get infected.
So by your explanation, you are at a lesser risk.
Coming to your last queries. Tridot test has a window period of three months, that is, it gives HIV status of three months from present and not recent three months and fourth generation test has a window period of four weeks. So going by the chronology of events you are quite safe. I hope it solves your queries and I hope you become a little relaxed now. If you still have doubt I am always there to help you. I am also enabling a free query in case you need to speak to me again.