I'm not sure how a cup of Borax in a 20K gallon pool raised the pH up from 6.8 to 7.7??? Maybe you meant one box. Or tester error or something, but oh well. As long as the pH is above 7.0, that is what is important.

Your 4 bottles of bleach would have added 17.2ppm of cl to the pool. Until your test kit arrives you can use a dilution method to test the water which is described here: Testing Without a Good Kit