mrleggs,
It is good to understand problems and how to handle them, but I doubt you will have any, as I haven't with mine.
However, given anything can happen, good practice of safe firearm handling is always the best outlet to prevent harm to yourself or others.
Should the firearm malfunction, keep the barrel pointed downrange...even if it doesn't malfunction.
Stovepipe, misfeed, dead round...
Remove the magazine, try to manually eject the dead round or used cartridge.
If it is a dead round...that being a round where the pin drops, but the round does not fire. I've never seen it, but it can happen. It is not attributed to firearm malfunction, but rather bad ammo. -- Make the RO aware of the dead round so that he/she may put it in a safe place. Don't just eject it onto the floor & leave it there. Someone could step near it and it could go off. Unless it is something bigger than a .44 magnum, it wouldn't really hurt you. Even with shorts on, it probably wouldn't even break the skin, but it would give you quite a scare.
If anything happens where a live round is left in the gun and you are unable to remove it, make the RO aware. They will probably ask you to remove the firearm from their range. Pack it up, but be aware of the direction of the barrel & don't let it sweep across anyone on your way out. Take it to a professional gunsmith for proper removal, but make them aware of the problem before taking the firearm into their shop/store/office.
EDIT: Hit us up with a general range report after using your RIA. I'd like to know if you enjoy it and like it as much as I do mine.