Welcome to TFP, Sean. You are not going to believe how easy this pool boy job can be, once armed with good information and an amazing support network. In less time than you think possible, you may even forget how to
get to the pool store! While you await your test kit, please continue to read and ask questions (nope; there's no dumb ones!) about what you've read on this site. It's much preferred that you ask a question, rather than do something that will cost you time and money to fix.
BTW, you mentioned something about not having a clue about doing your own testing with the TF-100 kit. Somewhere on this forum, Newdude has a rib-splitting step-by-step instruction session for the uninitiated newbie testers. Maybe he can re-post it for your benefit. If so, enjoy!
Referencing your list of chemicals purchased from the pool store in the last three years, if the Baquacil products were purchased more than a year or two ago, my guess is that there's not much, if any left. When we ran our pool on Baq, anything we put in was pretty much gone the next day! Seriously, we ran up until closing on Baquacil, and then converted to chlorine upon opening in the spring. We didn't have a huge amount of residual Baquacil left.
Seems if your chlorine additions (via pucks) were added to a pure Baquacil pool, the sudden drastic appearance of all the pretty colors would have had you already using the boom sticks and/or the cement truck.
As several have said, you are in the right place. There's a busload of help just waiting to get their hands on your pool! LOL