I have not done these specific models, but ipads in general can be tricky to get the displays out of intact. The adhesive holding them in is VERY strong (it’s all that’s keeping the display where it’s supposed to be so it would have to be). You will definitely need heat to weaken it. I would say go slowly. And the thinner the tools you can get to do the job the better, sometimes it comes down to the ability to get something into a tiny gap.
This could also be a logic board issue, but I would say trying to replace the charge port is the way to go until you have more information (ie that replacing the charge port didn’t fix it).