1. He evaded his ban by joining the server under the name of ... . (is this correct? can I say under the name of? A gaming server by the way), or maybe with the name of?
2. He is banned from the server on/in or with this account?
3. You should better talk to him since or as you were the one who ... . (as you were or since you were the one?)
1. 'Under the name of' is fine. 2.
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1. 'Under the name of' is fine.
2. I would use 'with this account'.
3.
Antonis M.You shouldbettertalk to him
since or as you were the one who ... . (as you were or since you were the one?)
You could use '... had better...' but 'should' on its own works nicely.
I prefer 'as' but 'since' seems fine