Is my cooling system operating normal?

As for a mechanical fan, make sure you have a good shroud on it and the top of the clutch is about 1/2 to 3/4" from the rad.
Another thing to pay attention to is the pitch. You want as much of that as you can get. Flat fans don't draw enough air.
What are you crank and water pump pulley diameters
FWIW I went on a search to correct my factory sized 4% underdrive pulley setup and found a "high volume" 1:1 setup at CVF with the difference being the waterpump pulley. I replaced that and my fan at the same time so I can't say which one fixed it, or if they both helped a little bit, but my car doesn't run hot now. (I also have a flow kooler and a Cold Case radiator - those didn't help until I changed the pulley and fan.)