There is NO REASON to test now when next month a conclusive test can be obtained.
The condom split, so it can constitute a possible exposure. A test right now will give you an indication how a conclusive test may turn out three months from now. The symptoms don't sound Like ARS, those take place 2-4 weeks after exposure and last up to 1-2 weeks. You are probably correct, it's probably from the door. Test soon to see where you are at. Best wishes.
PS: this only holds true with anal/vaginal sex, if oral sex, you will be fine.
Duh!!! You can test in another month for a conclusive test result.