Dan Norton over at Adorama has some great in store events that are free, that will show you much of the basics of portrait lighting. He's also a super nice guy. B&H does as well, but I have enjoyed attending a few Adorama ones.
Something I think is helpful is to have a goal in mind for each shoot, even if the person you're photographing isn't necessarily in need of that end product. A great place to start is learning how to take headshots on a simple white or grey backdrop - it's nice to understand what actors vs models vs corporate types want, because they can differ significantly.
Posing and composition are just as important as lighting. Masculine vs feminine posing, group posing, and posing for different face and body types are all great things to learn.
Looking at your most recent self-portrait tests, I'd move your rim light so it is acting more as a separation light. You want it to be more of a subtle sliver of light. If it is too far forward, then you run the risk of it competing with your key light or spilling onto the nose and face. Key light looks good, but I'd experiment with moving it farther away from you and feathering it a bit away from the background. You'll both get a softer key light, while also minimizing spill onto the background, which could kill the ambiance of the image. A grid will help with minimizing spill onto the background as well, especially if you're working in a tight space.
For now I'd just use a key and fill, and get your placement and lighting ratios dialed in, then add the rim light in where needed. Some images just need key and fill. I'd also highly recommend getting a light meter, as this will help you dial in your lighting ratios more accurately