Free players only get Ered Luin, the Shire, Bree-lands, and Lone-lands free. For any other zones, you have to purchase the quest packs or become VIP. You can try to do the epic story, but it's not enough to level you along with it. I recommend you either A) Do deeds in all the free areas until you have enough Turbine Points to buy a quest pack (And at your level, I recommend Evendim), or B) Go buy Turbine Points to buy a quest pack (If you don't have a credit card, there are several retailers that supply Turbine Point cards), C) Become VIP (it's about $15 a month for 1 month or $30 for 3 months, and you get lots of perks with it!), or D) do skirmishes and just grind until you are high enough level to continue the epic story.
LOTRO is a really fun game, but they can't totally make it free because of how much money it takes to keep it going. But it is the most free-to-play game I have found, in that you can earn enough Turbine Points to eventually unlock everything. It just takes a VERY long time.
Lethareth, the Celebratory