Sex 2-3 day after period ended, don't know if he came, ovulated 6 days later. Could I be pregnant?

Unlikely. Sperm generally only live for 5 days in the vaginal and uterine environment. If you ovulated six days after your lust sex, it is unlikely that sperm would have survived long enough to fertilize your egg. Sounds like you could use some birth control though, so talk to your doctor soon about getting on a method.