As everyone has given proper answers for all other questions i'll answer this one . No here moderators come under admins and that wasn't a thing on reddit.
Well does every community on reddit come under different admin rules like on lemmy ? Does reddit have a problem where if you don't agree with instance admins beliefs or actions you can get banned ?
Every server is under the total control of it's admin while moderators are self-assigned to communities by the users that created them. It's literally the exact same structure as on reddit.
The only difference is that there only is a single reddit server with a single set of admins, while lemmy has many instances.
So yes, everything you mentioned is basically the same on both platforms. The only difference on lemmy being that when you piss off the admins and get banned you can go to another instance.
Nah i mean the reddit admins follow a standard rule structure because they are corporate workers and does'nt insert themselves it is like moderation on any sites but in the fediverse its different.
Lemmy admins create rule structures for the same reason Reddit admins do, they are doing high level curation of the communities they want.
You're right in that there isn't the firewall between moderators and admins on Lemmy that there was on Reddit, but that was a choice that Reddit admins made, not a design difference between the two services.