First, I hope you got one of the recommended test kits. Do you have an estimate of delivery date?
If bleach does work, then shocking is in order.
If pool store test is to be believed, the CYA is too high, shocking to those chlorine levels will be hard to manage. Drain and fill is in order, that will lower the copper as well. That high copper level has worried me anyhow. You do not want that staining your pool.
You can run with the values you have now, or wait until you are able to test CYA yourself to be sure. Or you can split the difference and drain and fill now based on pool store test and when your test kit arrives retest and perhaps do a partial drain and fill again. Is fill water an issue there -- are you on a well or are there water restrictions?
If you decide to drain and fill now, I'd drain enough to get your CYA to 30. Starting from 80 that means remove 64% of the water in the pool, let's call it 2/3rds.
Can you begin that now?
It would be a good idea to test your fill water, either call the water department for test data or take a sample to the pool store for testing. You want to know if there are metals in the water, also you want to know the TA and CH of that water.