Engine NORMALLY RUNS HOT? As for the squealing, tighten the alternator by loosening the bolt in the slot adjustment and use something like a wooden hammer handle for leverage to slide the alternator farther along the slot so the belt is like the E string on a Guitar(a high pitch) or really tight and then tighten the bolt on the alternator so it does not slide looser. It is suppose to be that tight. You ain't got the strength to break the belt with 1 foot of leverage.
. The thermostat does not have anything to do with this as being faulty; however you got an air pocket in it. You do not know how to refill it properly so you will always have the air pocket BEHIND THE THERMOSTAT. most likely.
. Modern cars are not refilled like the old time machines because the thermostat is located in a different place than the old engines.
. My old Chev engine had the thermostat at the top of the engine under the TOP rad hose. So you could refill just the radiator and it would fill up every nook and cranny.
Schitty gas mileage. Low power output.
On newer engines the thermostat is located on the BOTTOM RAD HOSE so rad refilling is done differently. Probably take off the top rad hose and pour directly into the rad hose to fill the engine until fluid comes out of the upper rad hose. The thermostat is closed so you filled the engine side. Now, slip that hose back on and fill the radiator...the other side of the thermostat. Now you filled BOTH SIDES of the thermostat.
You can dump and reuse the contents that is now in the overflow tanks...when refilling the radiator(so nothing goes to waste. You may need to put some in the overflow tank to the cold line (which is the lower line) Tighten everything up and take it for a burn. Yes the overflow will fill up more when the engine is hot - that is normal. When the engine is cold (like overnight) the level should be at the low line in the tank.
. Leave the "bleeder screw" ? alone. It all should be right now.
. I don't have a picture of the engine cooling system but I am supposing the thermostat is at the bottom rad hose.