Its a Legend Classic 5.
Regarding the input jack. Those models have a very recessed jack if I remember correctly.
I remember playing a new one and 2 right angle plugs had issues like you are mentioning.
That is a great price, I would ask if you can look under the control cavity and see if anything strange is going on inside.
Also in the photos those appear to EMG active PUPs which would be a an upgrade since they come stock with EMG Hzs. The active EMGs make that even a better price.
Sure sounds and looks like a Legend to me. The pickup being loose could just be the screws backed out or the foam was removed from under the pup. If you are comfortable with a soldering iron than fixing or even replacing the jack is easy.
IMHO I like when the finish is wearing off a bit.... if you plan on refinishing the bass, then i say don't get it. I tried that once and it was a lot of work, and not worth it for that price.
If you enjoyed playing it and like how it sounds get it.. the electronics are simply and easy to fix, even if you pay someone it won't be that much money.
Hope that helped
Thanks guys. I think I'll go pay that GC another visit and bring along a screwdriver.

