I'm no specialist in these things but I think you have a couple of key problems.
Don't go dumping a crapload of cyanuric in the pool though. Too much can be as bad as too little. If you are sure that your cya/cyanuric test is correct then I would get some stabilizer. You can get it at wal-mart. It sounds like you have a solid test kit, but if you are using test strips to test for cya they can be very inaccurate and you might want to get the number checked at a pool supply store.
It takes up to a week for it to fully dissolve and mix in the pool, so I would start with trying to raise it 20 ppm or so, if it is truly around 0 now. A small amount has quite a beneficial impact and you don't want to overshoot by trying for 30-50 at one go. Once you get it near 30 I would leave it alone.
I also think your ph is too high and it is hindering the effect of the chlorine. I don't know what above ground pools are recommended to have, but I doubt that 7.2 would be a problem. Again, don't go crazy with the muriatic. You don't want it dropping below 7 for significant amounts of time. It can take a day or so for the reading to stabilize. Try to bring it down by .4 or so(so it is around 7.4) and then see what happens. Algae bloom can cause ph to creep up also so keep an eye on it.
While this is going on don't let your chlorine drop or you will get more trouble. To really clear the pool I suspect you will need to get your chlorine up to 15ppm or so and hold it there for a few days and run the pump. Again, I don't think this should be a problem for an above ground liner pool, but hopefully someone will comment if it is. If it is dropping through the day and there is someone home to check it they may have to add some during the day. If the chlorine drops too much it takes only a few hours for you to be right back where you started.
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