Let’s first deal with the battery issue, install this gem of an App [https://www.coconut-flavour.com/coconutbattery/#plus|CoconutBattery], with the charger plugged in take a snapshot of the Apps main window so we can see what’s happening, post it here so we can see it as well.
As far as the Trackpad, is it working besides the haptic feedback? That is if the click action is working you just don’t feel it. So sliding your finger left - right & up - down across top middle and bottom as well as along the sides and middle. No defects in tracking correct? If the click action is not working does an external mouse/trackpad work?