Transmission shifter is stuck in park?

I have checked the brake lights and yes, they work as for the clicking, I never have heard it make any type of sound when I press the brake and its push button starts so I press it every time I start it. It's done this twice before today the 1st time I had drove about 5 miles round trip and pulled up almost to my driveway and put it in park so my kid could pull it in the driveway and as she tried to shift out of park it wouldn't move so I got in and jiggled the shifter a bit and it finally went to drive and I parked it the 2nd time was about 3months later and I got in to leave and same thing so I googled it and took it apart as described but the top part of the shifter pulled right off the stick and it was missing the clip at the bottom the video said holds it onto the stick so I continued taking the console top off and found and pushed the white button in that they say u can put a screw driver into though release button on top to release it from park and it does as long as its pushed in but once its back together it doesn't even when doing the screw driver idea so this is why I ask if just replacing the entire assembly would fix the issue tomorrow in the daylight I will upload a video showing you what it does and maybe we can figure it out.

Heres a few videos how do I find the part number for my shifter assembly.

As for power going to the connector with key on not started right will it light up or something to tell me I checked the fuse under my hood its good both prongs lit up there's not another fuse inside the car for it and I'm missing the lock pin also that goes under the knob and now its broken off so regardless I now have to buy a new one anyways hopefully it fixes the issue but il respond ether way once I've got the new one but when it comes to a replacement I'm told the part numbers must match if this os true where exactlly will I find this number located at on it.