The specific answers to your questions:
The EB-3 is a bass and not much else. What I mean by that is that it'll do you a reasonable job within fairly regular rock boundaries but if you're looking for sparkling highs and hi-fi slap sound then it won't be so much use.
Is it good for a beginner? Well, my first bass was an Epi EB-3. It does have quite a slim neck, but it's quite unbalanced because of the little SG body, long scale and giant shovel of a headstock with full size tuners. This means that the neck will always be wanting to tip towards the floor and you'll have to keep it propped up. This might hamper your technique. Honestly, if I had my time again, knowing what I know now I wouldn't have an Epi EB-3 as my first bass (or any bass, come to think of it). This is just my opinion but when you're starting out you'd be much better off taking a more balanced bass like a Squier Jazz or Precision, or Yamaha make good stuff (an RBX can probably be obtained new within your budget, or a second hand BB) and while this is just my experience, I bought the EB-3 because it looked pretty with no idea what I actually wanted from a bass and it sat unused for ages.
You might love it. Ultimately, the only way to check is to try one first. There must be one in a shop somewhere.
Knowing what I know now, and although I don't really care for any of them, out of that four I would take the Les Paul Special. I had an Epi Les Paul Standard bass once (they don't make them any more) and it was lovely.