Hi I wrote to customer service about the problem and got the same canned reply 2 times (from support_na_ig2@square-enix.com), which is kinda frustrating. I hope that I could get some real help here.

I tried to transfer my character from Exodus to Coeurl, yet the system told me the character is not eligible for that.

In the canned reply it says:
"If you find that the world that you wish to transfer to is currently accepting new and transferring characters and you are still unable to transfer successfully, your character may currently be ineligible for a Home World Transfer. Details concerning how to confirm your eligibility for a Home World Transfer can be found at the following web address:
http://na.finalfantasyxiv.com/lodestone/help/option_service/world_transfer_service/"

matter of fact I already read the link many times and still have no clue what went wrong, which is why I wrote to customer service, but all I got is canned reply.

Would you mind looking into what specific reason stop my character from transferring to another server (world)?

Much appreciated