I would like to thank all of you for your input. I am curious how old you were when you learned your technique. I’m going on 19 and I can barely touch my toes anymore. Oh boy =(
Hehe, yea, I heard a quote from a krav maga teacher (thx for the hebrew translation btw, never knew that ;)), ‘You don’t need to kick a guy in the balls gracefully, as long as you manage to stick them in his throat’
Lolol 
I studied shotokan for about 14 years, starting when I was 16. It’s a good solid style which emphasizes power but based on your OP, I’d probably recommend jiu-jitsu.
The 2 most important considerations should be the instructor and the art’s philosophy. You should pick the one you get the best feeling with.
Also keep in mind that it will probably take you at least a year of solid practice (not just going to classes) before the art could be useful to you in a real situation. The reason for this is that you have to have enough practice in you so that the techniques are automatic and you won’t have to think how to execute them because there is no time to think in a fight. Of course, the best way to survive a fight is not to get in one.
In my experience, you should visit the classes and pick the one that has instructors that appear the most sane, stable and safe. I’ve seen a lot of really bad instruction out there. I guess this is my advice for novices in most things at college: if it’s not a requirement, find the best instructor and take a class with them!
If you are looking primarily for safety and for just brief study, you might be better off taking a self-defense course than a martial arts course. Even if you want to focus on your hands, learning a good back kick, basic front kick and side kick is great self-defense. It doesn’t take much strength or flexibility, but just a little know how, to break a knee cap or arch of the foot of a mugger with your foot. Even an inflexible old grandma can do it with training and target practice. 
By the way, where in GA are you? People may know instructors to recommend.
As to touching your toes. Any good class should start with warmups and stretching no matter what is being taught. If they don’t, that’s a sign that this is a poorly run MA school.
My husband was 29 when he started Tae Kwon Do a year ago, and he hadn’t been able to touch his toes for ten years. He’s still not as flexible as I am, but has greatly improved. I have visited a class, and they do stretching and warm-ups for about 10-15 minutes. Seems to work for him.
Your own personal style probably matters a heck of a lot more than any inherent benefits of the particular form. I would recommend that you go to a class or two of each, and then continue with whichever feels most “comfortable” or “natural” to you. Of course, as drhess points out, the quality of the instructors is also important, and that’s another thing you can judge by visiting the classes.
As for specific, named techniques, the only ones you’ll ever actually use are the very first ones you learn, as sort of “building blocks” of how to fight. For example, the first “technique” I learned consisted of an in-block against the punch the other guy was throwing, followed by a chop to the neck. Simple, practical, and effective. The later techniques you will learn are intended primarily as examples of how you can put together those building blocks. If you’re actually in a fight (or even just sparring), you’ll probably pull some combinations of moves which are as complicated as the textbook ones, but they won’t be the same as any of the textbook ones.
I’d suggest simply taking one of them. All can be taught well, and can have effective delf defense applications.
One semester of any of them will not provide you with much useful ability. But at least you will learn a bit about what that art is about. Which will make you better able to evaluate the next style you try.
Moreover, you should be able to apply elements of most martial arts to many others.
Of the 4 you have listed, I have studied all of them but hapkido, and I have some very good friends who train/teach that.
One significant (overly broad, general) distinction is that shotokan and hapkido are largely standup arts, while judo and JJ feature manipulations and throws. You didn’t specify whether the JJ is traditional JJ or BJJ. Two extremely different creatures. If the JJ is BJJ, it is almost all grappling.
Personaly, I think stand up striking is easier to quickly acquire applicable skill in than grappling. But YMMV. Shotokan teaches very powerful striking. Personally, I do not care for much of their blocking. One thing accomplished shotokan practitioners do just about better than anyone else, is cover large amounts of ground forward and backwards. On the down side, I feel they practice too much (especially at early stages) in set routines. I am not a big fan of kata.
Of the 4 you mention, I personally would choose hapkido.
I second the recommendation that you visit all 4, and go with the one that has the atmosphere that appeals to you the most.
Have fun!
On reflection, that may be the most important item mentioned in this thread. I suppose really the biggest thing you need to learn is how to keep your head long enough to jam your thumb in the opponent’s eye and then bite his ear off. You’re probably much better off with an “inferior” style taught by a superior teacher. In junior high I was told about how such-and-so, I don’t recall his name, was give the following fighting advice: tuck your head way down and then blindly swing your fists in alternating upper cuts as hard as you can. The story goes that he beat two guys simultaneously using that technique.
One thing to watch out for with Krav Maga is under qualified teachers (sometimes with only a few months instruction themselves under their belts). This style has become fairly popular recently, and is good - but as with most things, a quick rise to popularity combined with a not-so-well established/organized list of qualified instructors tends to lead to non-qualified people wanting to jump in and get their peice of the pie and give lessons too. So as was already said, check it and the teacher/s out first.
I was nine when I started Judo, earned my black belt when I was about 20 or so, and have been teaching for probably about 20 years (I’m 41 now). I don’t have any first-hand experience with other arts, but I can say that Judo has never let me down when I’ve needed it. Most importantly, I think it’s allowed me to keep a cooler head when others might have taken to physical confrontation, giving me the opportunity to avoid duking it out.
All I can say is that Judo is something that I’ve stuck with for years, and for many more reasons than just the art itself. There’s a whole social aspect to Judo that I don’t think many other arts have - I can walk into practically any dojo with my gi and feel welcome to join their workout. My original instructor (now pretty much retired) was the first US National Heavyweight Champion, and has been recognized by the Emperor of Japan for his contributions to US/Japan relations, all stemming from Judo. Hence, everywhere I go, everybody asks how he’s doing, and wishes him well. I bet you don’t get that with Shotokan or Goju-ryu or…
As for your OP - try each of them. Stick with the one that feels right.