As you recongize, the likelihood you acquired an STD from the exposure you describe are extremely low; for
practical purposes, zero.
1) No, it makes no sense to be tested for STDs
, assuming you have had no potential exposures other than the ones you describe.
2) All bacterial STDs (e.g., gonorrhea, chlamydia, syphilis, etc) would have cleared on their own after 10 years; or would have been cured by the antibiotics you took for other infections.
3) Sure, if it's a treatable STD.