Charging incorrectly - strangely

The project started with replacing the battery because it had swelled and pushed the screen away from the frame. I damaged the screen in attempting to remove and replace the glue. So, a full screen replacement followed. I now have a nearly fully functioning phone with blemish free screen and back glass.

The phone will not charge properly to calibrate the battery. I have a good Samsung adaptive charger (3) and a good cable. I have run it down to the point it would not turn on. Then on first charge, it took excessively long even if it was only charging at the slow rate. It also would jump percentage and freeze at points. I tried charging powered off at first, but then turned it on to examine the battery stats. I waited until it eventually reached 100% before unplugging. I discharged to 0% again to see if it was only the first charge that was erratic. Nope, second was just as bad. I also at this point dialed the code *#0228# to reset the battery stats after running it back down to 0%. The third and subsequent recharges are going just as bad. It behaves the same on wireless charging. Example, 1/2 hour to charge from 0% to 17% when on, after factory reset, cache cleared, indicating fast charge. Then unplug wait 30 seconds or so, then upon plugging in now reads 51%. Allowed to continue charging and 1/2 hour later 68%. Unplug, wait, plug, 83%. Unplug, wait, plug, 73%. Unplug, wait, plug, 69%… has been for 2 hours. Boot up and still 69% and 1 hour 15 minute ETA to full charge. Somewhere during my attempts while I was discharging it stayed at 1% for 3 hours while playing youtube videos full screen at highest quality before it died.

Checklist: Charger - good, cable - good, USB port - good, wireless charge - good, battery - maybe?, charge control circuit - maybe?

It works, but I cannot trust it will not overcharge the battery even though it may state far less than 100% charge.

What is my next step? I have quite a bit invested to just call it a loss. I feel I may need to reopen the case and check for issues. Clean up connections maybe.