Vibrations
Here is my take...
- Unless the slip yoke is particularly long the amount out of the trans is excessive.
- There appears to be excessive play in your transmission mount
- The video where you are raising the drive shaft up and down it looks like the U joint is moving.
- The wabble in the drive shaft looks a bit much
- I did not see any video of the rear u joint at the diff.
I would absolutely take the driveshaft to a shop and have them evaluate it. They will probably do it for free.
With the rear axel supporting the body weight, disconnect the rear u joint. Slide the drive shaft forward till it touches the transmission seal. Back it out 1 inch.
Measure from the center of the slip yoke to the center of the diff yoke.
See how that measurement compares to your driveshaft.
If it is more than 1/2 inch difference I would have a new drive shaft made.