In regards to the first bug, the game wouldn't continue at all. The passenger completely disappeared but never actually entered the car, so I was stuck with the cutscene technically still going, the game timer frozen, and no inputs enabled except pausing. I could move the camera around in photo mode, but the passenger was not in the car, just the driver. It was a passenger spawn point by the the parking garage drop-off area. Important to note is that the pillar I was next to was not between the car and the passenger, just behind the car and causing an awkward camera angle during the cutscene. I took this screenshot when it happened of the locked cutscene view but didn't think to attach it, apologies. Is it possible the car unloaded or something due to being off camera and caused the failsafe to fail? I do recall that the passenger walked forward towards the camera for about 5 seconds before disappearing, which I assume now was because of the teleport failsafe.
In regards to the second bug, it happened when I restarted the taxi mode from the pause menu right after the first bug, but maybe it was just complete coincidence. The passenger radius that I drove into was very close to the starting point if I recall correctly (as in like not even a full car's length ahead), so maybe it was something to do with stuff still setting up in the background? That's pretty much all that happened. I restarted in the pause menu after the softlock, a new taxi game starts, and the german shepherd girl passenger automatically gets into the car when I drive into the pick-up radius right in front of me. I haven't had it happen again so far.