A chlorine drop of 2ppm in a 24 hour period is pretty normal (organic material, etc. is constantly entering your pool)...some pools use a little more....a few, less.
Running the pump at night is fine. I also prefer to add the Cl at evening time....it's when it's the most effective. I would suggest adding enough Cl to get your pool to 5ppm and then readding when it gets to 3ppm. That'll keep your Cl in the suggested range on the "best guess" table.
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