Pressure washer is not a good idea, from what I've read--garden hose is much better.

The green in the pool, as Pooldoc said above, is what's clogging up the filter, so you have to kill off the algae before you can get it filtered out. Algae and sunlight will both eat up chlorine, so it'll require multiple additions of bleach to keep your pool at shock level--problem is we won't know what your shock level is until you test for CYA. So...just to reiterate what Pooldoc said, get a good set of test results on your water (drop-based, please--no strips!!) and post those along with a list of what you've been putting in the pool, and we should be able to help you from there.