That's a difficult set of test results to work with!! The best thing you can do is keep your chlorine between 3-6 at all times so that you don't end up with an algae bloom. You don't want to have to shock our pool if you can help it.

Do not use any algaecides, unless it's Polyquat 60. The rest of them will create other problems for you, the primary one being the addition of copper to an already metal-laden pool. I would also unplug the Nature2 unit, or at least just take the cartridge out. It's not doing anything to help sanitize the water against viruses, and it also is adding copper to your pool.

Your hardness and alk are very high. You can keep the alk and pH down by using muriatic acid, but everytime you top off the pool with water, you're adding high alk water back in, so you might find yourself fighting a losing battle there.

Just filter, filter, filter, with your pump on low speed (2 HP is really oversized for your pool) and don't let any algae get started in the pool!