If you are melee and have decent gear...Talking Island's golems are good. Once you level past those go get the spider quest from Piotur called Recover the Farmland. He's near one of the houses out in the spider area (not the one with the Summoner and Kat). That quest will give you adena or potions, shots as a reward and the quest items drop pretty much every time.
Thanks for the encouragement (is that how you spell it?) I'm not sure that I'm strong enough for the other place so I was wondering what level I should leave the island at, and how to leave it. Thanks in advanced.
You can leave the island anytime by taking the Ferry ( you go to the dock but must buy a ticket that is fairly pricy for a new character). You can leave by Gatekeeper but that's pretty much out of the question to afford as a newbie.
You can leave the island and be able to kill things around Gludin solo sometime around 14/15. The lizards and bears outside of the town are soloable. The spiders are as well as you get higher but beware, unlike the spiders on TI those around Gludin poison. So either have antidotes and healing potions or a healer that can cure.
The negative side of Gludin is there are usually reds around that like pking newbies. The postitive side is you will finally start to meet more people.
Are there any really good places to level a 10-19 fighter or should I just hang out on Talking Island and kill things?
10 - 19 Dark Elven Village's Spider Nest is the best place to hunt...if you can get there. At about 19 you'll want to go to Fellmere Lake region of Gludin. At 21, depending on gear, you can go to Abandoned Camp.
All of these places have one common element: lots of things to kill in a relatively close proximity. The biggest timesink in L2 isn't resting, it's the time spent running from one mob to the next. :)