Hello there, Samael, welcome back to FFXIV and welcome to Balmung! It's good to see people returning!
Some people are fine with bending lore, some think you should avoid the "forbidden" classes entirely, and some people are fine with straight up disregarding the lore or being Mary Sue's to play a straight up special snowflake White Mage or what-have-you. It's really just personal preference--what you want to RP, and the type of people with whom you'd rather RP. And sadly you could have changed your character's name when you transferred servers, but the chance is gone unless you want to pay to transfer away and back again.
Some people are fine with bending lore, some think you should avoid the "forbidden" classes entirely, and some people are fine with straight up disregarding the lore or being Mary Sue's to play a straight up special snowflake White Mage or what-have-you. It's really just personal preference--what you want to RP, and the type of people with whom you'd rather RP. And sadly you could have changed your character's name when you transferred servers, but the chance is gone unless you want to pay to transfer away and back again.