Motorin, the gallon of bleach you put in will likely just go to waste as it'll likely take quite a bit more to get your pool healthy. I'm at about 15 gallons so far (10gl of 12.5% and 5gl of 8.3%) and on the 3rd day of SLAM.
What you need to do is, once you get your k-2006 kit, do the full range of tests (most importantly FC, CC and CYA) and then using the Chlorine to CYA chart in Pool School see what your required shock level is. You can then use Pool Math to figure out exactly how much chlorine you will need to put in. Then you can just use the SLAM directions.
But, first, before you do anything, do a test and post your full numbers, so the experts on here (and im not one of them, as im still learning) can do an appropriate assessments and then advise as you on your next step. There's a possibility that you may need to readjust some other numbers, such as CYA, before proceeding with SLAM.
As for the algaecides, sorry cant comment there.... don't use them and don't know much about them, other then, your best algaecide is your chlorine!

Good luck!