I would start with that driveshaft for sure. It appears its to short and not correctly installed in that tailshaft. A T5 and most transmission swaps typically involve getting a custom driveshaft in the correct length.
Having one made is easy. You measure distance from transmission to flange on the diff and talk to a drive line shop. They make what you need, Or even easier take what you have that needs to be modified and they retube it to the correct length.
When I did my T5 swap in my 70 XR-7 I had the original drive shsft cut down I think it was 5/8 inch and rebalanced Look for a local shop that does this kind of work.
Today me and my brother swapped out the Aftermarket Aluminum Drive Shaft for the Factory Drive Shaft with a shortened Yoke. It fits WAYYYYYY better ! I took it on a test drive and i have little no no vibration at all. I think if i remove the 2 degree shims that i installed it will ride perfect! I drove my car around the block a few times today for the first time in a while and im super stoked ! The Aluminum drive shaft that was installed is from a foxbody mustang i believe? I bought it with the lot of parts for the t5 swap from a guy on Craigslist who swore that everything would work with the parts included but they didn’t. Anyways, thought i would share this story with everyone. On to the next project, Export Brace and Subframe Connectors!