Maybe a relationship will just come to you and maybe it won’t. A lot of the advice you get in these kind of threads is like ‘just be yourself’ or ‘don’t be desperate’ or ‘be comfortable on your own’ or whatever. None of that ever worked for me. I was never able to just be myself or be on my own without feeling lonely and desperate and that made me seem weird and off-putting to potential partners. Honestly it took recognizing my mental issues, getting serious about finding a solution to them, and working on them for a while before I was able to act like a normal human around someone I was attracted to. In the end what worked for me was a combination of Buddhist meditation and some kind of therapy. But everyone is different. YMMV.
On the other hand maybe you are perfectly comfortable in yourself, are handsome and charming, and have no trouble talking with women, but you just met some women with issues of their own. If so, just try to get out more and meet more people. In that case it’s a numbers game and eventually you’ll find the right one.
It’s well established in the Star Wars universe that all you need to create gravity is a floor. Take, for example, any scene from within any of the space ships. Gravity is never a problem.
Of course, a deep chasm also seems to create gravity, as seen in the first movie when Luke and Leia swing from one ramp to another to escape the stormtroopers chasing them.
Regardless, it’s easy to see from the blueprints that the layout is stacked like your first image.
Edit: upon closer examination it turns out it’s both. The plans show three ‘concentric surface decks’ that apparently work like your second image. So I guess the answer is ‘it depends on where you are in the death star’, and, I guess, which way ‘down’ is where you are.