@TheMilkmanGamer: The old system didn't track punishments, but bans/mutes were harsher than they are now. Hacking was a 1 year ban. Any death/DDoS threats were bans instead of mutes, but teaming was not punishable (only a kick if a staff was actually in-game). Probably the only improvement most see from the old to the new system is the recorded punishments.
As for being falsely banned, yes I have been but not in Minecraft. I was automatically banned in one game 3 years ago but I appealed and got unbanned 2 days later after explaining what happened and asking their staff to verify my logs.
I would say that they should make less chances and longer bans. Ex. First offense 2 weeks, 2nd offense 6 months, 3rd offense, one year, and 4th offense perm. Yes you could be falsely accused but the staff won't always believe you/have time.