The first is picture of where it could be and I'm just thinking it's coolant but I'm not sure.
This one I'm not sure at all since I can't find where it's coming from but it's dripping from the side of the transmission. Also 3rd to 4th still jerks/flairs.
Just thought of it since I did just do an oil change could just be oil dripping from the filter being takin out lol but still don't know what the other in the picture would be
Looking at the video, I'd carefully check the water outlet. It's a known leak point.
But what I'd do is take the car on a drive, let it get fully warmed up, and then park it - hood up. Grab a cold drink and wait.
It wouldn't surprise me in the least that you have a pinhole link in the plastic tank of the radiator and it's peeing on the engine when the system is hot and under pressure.