ok, first and foremost, you DO need to drain the water. with a SWG I believe the CYA (stabilizer) recommended is 60-80, but not 100% on that. so you need to drain ~1/2 of your water, so depending on your water table, you can either do that all at once, or do it 20% at a time.
secondly, you need chlorine in there pronto, that is the reason there is algae. I can only guess that you are still using the tablets from the pool store. if so, they contain CYA, and you are just adding to the problem.
finally, need to brush almost daily if you have algae. I suggest getting a wall whale, I got one for christmas and it really helps brushing.
OH, also to add....leave this forum up one night, on the main page where all the pools and scrolling by, and also leave open a window on the BBB. hopefully hubby will stumble upon it and read up, then you can have a friendly conversation with him over how the pool should be maintained.