If you are flying as a hobbyist (not for commercial purposes) then you just need to register once for multiple drones. If you're operating under FAR 107 (not as a hobbyist) then you have to register all drones. You also have to have the registration number on your drone and the registration...
Ringolong may have a reference I don't have. The way that the regulation reads, it can be grounds but isn't automatic. What's also interesting is that they don't actually ask you about it. On the IACRA they ask about drug offenses but the instructions (if you dig deep enough) tell you not to...