Note: Merged this post in from another topic so I'm sure there is some duplication of suggestions - my apologies for any repeats
Sorry to hear your having troubles. Lots of things going on from what I can see but doesn't sound too bad. Basically waters too cold for the fish to eat much and you need to look at some other things. I've tried to sort it out for you below. Cheers, hope this helps.
1. The water is too cold. Fish can go for a long time without eating but I'm not 100% sure about fingerlings. I think they'll be OK because of the water temp - they won't be using much energy. Bluegills will eat some food under about 55 F but not much. Their eating picks up quite a bit at around 60 F. It's usually only at much higher water temps that you'll see them come up to the surface to eat. Giving floating pellets a soak in water and then squeezing them will cause them to sink and the bluegill will eat them on the way down. If you're worried about them being hungry but not eating you could try hard boiling an egg and chopping it up to feed them (bluegill will eat worms and eggs when they don't seem to want anything else). I use a sous vide immersion heater to do this so that I don't have to peal the eggs - I basically break them into a ziplock bag, scramble the whites and yolks together and cook them at 165 for one hour. If they aren't interested just store it in the fridge till the water warms and try again. You do want to get them on commercial pellets though - Trout pellets work better for the plants than game fish chow but I've used both (FYI, I use a lot of reject eggs from my chickens as well, it's tough to get them back on the pellets once they get used to the eggs)
2. With one exception I would not be concerned about the cloudy water, it will eventually clear. The exception is caused by ammonia and unless your test kit is broken, it doesn't sound like this is an issue here.
3. Your pH at 8.0 is pretty high, it will come down eventually but you'll have to use an iron supplement for your plants. Fe-EDDHA added to the system water will work at that pH or you can spray apply a lot of different types of iron and avoid the pH lockout issues.
pH of 8.8 is too high. Check the pH of your top up water right out of the tap and then again after letting it sit overnight. You can adjust the pH of the top up water down using hydrochloric acid (aka muriatic acid) before adding it into the system (use caution and follow package instructions). When adding this top up water try to change the system pH slowly, no more than 0.4 pH units at a time to protect the fish from stress. Bluegill can take a lot of abuse so they'll probably be fine even if you mess up quite a bit - still don't get too careless.
4. The fish on it's side near the top sounds like it might be injured, sick or in shock from transport, same with the other three near the surface although they may be alright. Sometimes this has to do with the transport conditions - If the three near the surface start to lay on their sides I'd worry but otherwise if you just lose the one, that's not too bad for bringing in new fish. If you haven't salted the water to help the fish with stress that would be a good idea. Use one part per thousand of un-iodized table salt that doesn't have any anti caking agents added (Strawberry plants are sensitive to salt so if you plan on having these you probably shouldn't do this, otherwise I would). Make sure if any die that you remove them immediately. Edit: It's also possible that the fish on it's side was injured in the pump as you mentioned about some others in a different post (I'd still salt).
5. Does some of the flow bypass the pool filter? What kind of filtration is it?
6. I'm going to assume that the system isn't cycled because of the water temp being this low. Be cautious as the water warms and make sure you aren't getting a build up of ammonia or nitrites that could be lethal to the fish. Cycling takes longer at lower temps, figure two weeks to a month and expect the bio-filtration to be fragile for about 6 months. Don't top up with chlorinated water initially. Once the biofilter is established most people can get away with a 10 to 20 percent water change that's chlorinated - older systems have lots of organic matter and I think that makes a difference.