Why is my iPhone 6s not charging properly?

After a small drop, my iPhone 6s shut off, went to the Apple logo and restarted. It may be important to note it was charging during this. It came back on, and I decided to restart it for safe measure, but then it sat at the Apple logo for several minutes. When it came back on, it was acting very strange. It would boot up saying it had 40% battery for instance, then die as soon as I unlocked it. It would boot up at 1%, then immediately restart and state it had 70%.

I opened it up and looked to ensure all cables were properly secured and connected, but when I detached the batter ribbon cable, half of the battery connector (the part soldered to the logic board) simply fell off. This is odd to me as, I don’t think that a simple drop would disconnect and break the plastic in half, and I was very careful when detaching the ribbon cable. I put the piece back into place and reconnected all the cables, and it showed the exact same symptoms as before.

It also does not say that it is charging when plugged in. I’ve tried 3 different cables and 3 different outlets; nothing, no lightning bolt. When it dies however, I am able to plug in a charger and red the battery symbol screen says it’s charging. If I leave it like this for a day or so and then turn it on; it will have 100% charge that drains within a few hours.

I tried another charging port from an older phone; same symptoms.

I've ordered a new battery from iFixit and installed it; same symptoms.

It’s been like this for several days and I really have nothing else to try except send it off to get the battery connector repaired. Any help would be greatly appreciated.