Yeah, you're going to have to do a lot more grinding on your 2nd/3rd/etc classes. Unless they add more quests outside of the ones in your starting area there won't be many to do after that. the Hunter's Logs are a really nice way to gain EXP as well. You have to kill 5ish of a couple types of monsters and you get a big chunk of EXP. after you complete all 10 logs in a Rank you get another, larger, EXP chunk. I gained nearly a full level doing the three logs that required you to do a dungeon and finishing off the whole Rank 2 set.
FFXI: DamienSlvrblade Race: Elvaan Nation: San d'Oria Server: Sylph 2002-2007, Phoenix 2012
PUP WHM PLD MNK BLU BST SAM WAR BLM 99 BRD THF NIN DNC SMN RDM 50+
FFXIV: Damien Scott Race: Duskwight Elezen GC: Limsa Lominsa Server: Ultros
DoW GLA19 MRD19 CNJ16
DoH/DoL All 15+