Welcome orchidmoon. Sorry to hear you're having so much trouble. I certainly would recommend a 2nd (and maybe even a 3rd battery.) There are a number of "stick" style batteries that are pretty good. The Spinner II is a longer-lived battery which does allow you to change the voltage somewhat to change the characteristics of your vape. There's also the iTaste VV3 - it's about the same battery life as your current battery, but it's also variable. It's considered variable voltage/variable wattage. I tend to like variable wattage because I can usually pick a spot, and no matter what tank (topper) I use, I don't have to fiddle much.
Please see the blogs here:
E-Cigarette Forum - Baditude - Blogs Baditude does a nice job of explaining terminology and defines things in such a way that can be more easily understood. It was a tremendous help to me when I first got out here.
I don't have too many different types of tanks, but I started primarily with EVOD tanks. They use Kanger single coils. Those vary between 1.8 - 2.5 ohms. As one of the previous posters mentioned, higher ohms will yield a "cooler" vape. I personally like about 1.8 ohms - gives me lots of flavor and vapor, but they will drain your battery slightly sooner than the higher-ohmed coils.
Depending on the coils you got, they may or may not have the resistance stamped on them. You would need some sort of reader to tell you the actual resistance.
However, once you use a coil for a bit, the eliquid will start to "gunk" on the coil. Two major results: the coil resistance will increase, and your vapor/flavor production will decrease. You might be able to extend the life by soaking in a little pure grain alcohol or unflavored vodka. You might also be able to dry-burn to remove the "gunk". Otherwise, you'll just need to remove the coil and replace with a fresh one.
Keep coming back with questions. We'll do the best we can to lend a hand.