The EHAS application asks if you've ever tested positive on the 2nd page...not sure if that's a deal breaker with their evaluation or not. That said, they are accepting certain rapid tests now, with the list of acceptable tests on their website. The rapid test is an antigen test, and only looks for active infection. Not the RNA "debris" or dead bits of virus left behind after you've recovered and cleared the virus...this is what an rt-PCR will often find and flag long after you've recovered and no longer infectious. Most sports now are using the rt-PCR for their daily testing, and if an athlete tests positive they use the rapid antigen to determine when he or she is safe to return to play.