I'd say this isn't syphilis.
You tested negative 6 weeks, I think, after the protected sex. Most people will test positive by then.
I don't know what caused your illness - covid? the flu? something else? - but it is not likely to be syphilis. Have you seen your doctor?
If you are still concerned about syphilis, and need a final test to ease your mind, just get one. Put that to rest. I'd be surprised if it was positive.
What you're saying is a little confusing if what you are asking is if you took the tests in the right time frame after the sex. You said "instant result 11 and 4 weeks after," is that two tests or one test? Then you said "a second instant test 2 weeks after that,"and then you said "a week after that" a vdrl test. Are you worried about (and starting your count on the calendar for testing from) the ten seconds of unprotected exposure or from the protected sex 6 to 7 weeks later?