40v battery being weird

Today I received a new bundle (40v charger, 40v 4 Ah battery, 40v power head, string trimmer, and hedge trimmer). Unpacked all the items, pushed what I thought was the fuel button on the battery and nothing happened. Put the battery on the power head, and it ran. OK, put the charger on the battery. It began flashing first light. Maybe it was low. Light on charger was solid green, light on battery flashing.

After it got up to third light on battery flashing, took the charger plate off, put battery on power head, attached hedge trimmer, and went and tried trimming various growths. Worked just fine, as expected.

Put charger plate back on battery. Second light flashing, but I let it charge for an hour or so. When it got to fourth light flashing, I noticed the green light on the charging plate is now slowly pulsing green. Is this normal behavior ?

Push button (or what I think is the push button) still does nothing to show me the fuel level. Button has no tactile movement. Is this normal ?

This is my first encounter with 40v.