Rebuilding atomizers without some electronic fundamentals first isn't a great idea. Knowing how to measure resistance of your atomizer is just about the first thing one should learn, but there is quite a bit more to know about basic circuits (Ohm's Law!) and batteries.
My best suggestion is to go to a high quality vape shop with knowledgeable staff or go to a vape meet with some experience people who can take you through the basics. If that isn't available to you, get on YouTube U and watch a ton of videos about getting started with RBAs. Oh! If you know anyone who tinkers with (not-vape related) electronics, they should be able figure this out stuff out pretty readily, these aren't complicated circuits.
After that, when you try it yourself, take a few pics and post it on here with some details of your build (wire gauge, coil diameter, number of wraps, resistance, and the type of battery you are using... feel as though I'm forgetting something...I'm very sleepy) for a final double check!
It's pretty much impossible to diagnose your current problem from your description. One possibility is that you built coils that are *too small*, the resistance is crazy low, and your mod might not fire because it is designed not to, cutting off because it is drawing too much current. Very low resistances put a lot of demand on the battery, and depending on the specs of the particular battery, it can be damaged or even fail in seriously unpleasant ways (severe burny hotness, fire, explosion). Or you might straight up have a short (a direct connection between the positive and negative terminals because things are touching where they shouldn't be), which would also cause the aforementioned burny-firey-'splosions if your mod didn't kick-off (because it's an extreme case of the same problem).
Or maybe you just aren't connecting the right terminals together.
I agree that you ought to pick up an ohm-meter. I don't know the details of your particular mod, but it looks as though you can test resistance with it, so that is an option (check the manual). I personally prefer to use an mod to double-check the resistance of my builds after I'm done, mostly because my 510-connector ohm-meter doubles as a handy working surface when I'm installing the coil and wick.
I also agree that you should start out with a single coil, aim for maybe 1.5 ohm or higher, and start trying fancier builds once you've got a better handle on the basics.
Oh, you should totally check out Nataani's blog posts called "Journey to an RDA". They are a great source. I can't post links, sorry
Good luck with the learning, it's a fun journey!
And remember: Safety first! (or at least third!)
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