You can't get banned from your account, but if you get banned from a server, try appealing on the website of the server. If they refuse your appeal, then you shouldn't have been bad in the first place. Find another server.
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Global ban on Minecraft is when you get banned from Minecraft Multiplayer.
You will on most multiplayer servers, but not from Minecraft itself.
Yes.
It truly depends on your offence towards the server.
Remove them from the banned list in the server files, or say /unban