When the charging cable is plugged into the charging port on the laptop, no indication of charging is visible, or the laptop won't hold a charge.

The screen is black or unresponsive

When the laptop is turned on, the screen remains black and unresponsive.

is it or, or is it and

“With your right hand, push the latch completely up to where you can see the battery pop slightly up. Pick and pull at the tab with your left hand.” The sentence is too wordy you can remove “Where you can see the battery pop slightly up”.