The CYA will help hold the chlorine (FC). It tends to "melt" away and the CYA just helps to prevent that. CYA levels that are high require more FC to be at shock level, so that's why you start at 30, then, once the steps I mentioned are complete, you bring the level up and maintain FC accordingly. CYA really only affects the chlorine. You can work on the other levels at the same time but just try not to get in over your head with balancing so many things at once right from the start.
Another note, if you add the CYA granules, which are typically what's used and they are a bit cheaper, know that the resulting levels won't show up on a water test for about a week. So you just have to go on your calculations. The recommended way to add the CYA is to pour it in a sock and hang it over the side of the pool in front of a return. Do that, bring up your FC level, and check it often, up to every hour to make sure it is being maintained a shock level. (the longer you keep the level up, the less time it takes to get through the process.)
Once you get an handle on that, you can get some calcium to get your hardness up to 200 or a little higher and use baking soda to raise the TA level (note that this will also raise the pH level, which is ok since you're currently at 7.2)
Like I said, one thing at a time, don't overwhelm yourself.