I had to replace plugs a few times on my 03 RX1, my buddy loved the motor and would start my sled when I wasn't there and only run it for a minute, that's not good on these machines. Typically the machine would still fire, spit and sputter but not completely start and the plugs would be bad, if the relay is bad I believe you will have no spark at all so it wouldn't even fire.
What is your sled doing?
Me and a buddy each bought 03 RX1's and his would start good always and mine would not. If it were frigid and i didn't choke it properly I could foul out the plugs, His would always run with the choke on and as it warmed up for the first few minutes he would just ease off the choke and the rpm would stay up, mine would chug and lag and sometimes foul the plugs. I never did investigate as to what the difference but something was different between identical machines.