Those level sync objectives might not work in Abyssea. The people advising you to go there were probably not aware that you were looking to complete an ROE objective.

I would help but I'm over on Carbuncle. Try getting a linkshell. You can do some /yells from Jeuno, Whitegate, Adoulin, or Chocobo Circuit. You could also try your luck with the linkshell concierges, but those are pretty awful.