If you are new and wondering what else is there aside from mission running and mining.. here..
There is literally a good 90+ careers and activities one can do. Some are very PVP. Other careers are not so demanding. And if you are still unsure. I would be remised in not recommending my alma mater Eve University. There are other corps that teach of course, but Eve University os the oldest teachie/learnie corp. They are the one that maintain the Eve Wiki pages.
Bring in people from around the game to talk about the differing careers and playstyles. Can get your feet wet in such activities as mining, exploration, how to fly in a fleet. Such as NPSI (Not Purple Shoot It) fleets to name just one.
There is no time limit as to how long you can stay. I was there for a good year and some. The classes are always informative and well worth sitting in. As you learn not just careers, but the mechanics of the game itself.
It could make the difference in rage/quitting and staying.