Well you have a couple of issues there. First you don’t have a lot to work with as far as perspective goes. You can only see the top rail of the bucket really. Its a shame that instruction card on the front with the yellow and blue arrows isn’t bigger because that would be perfect (and might still be). But the wider you can get the tracking points apart the more accurate the angles usually are.
But that being said, often perspective doesn’t matter and its often better to get a good track off one point and then do the perspective by hand (if even needed) after the fact with a corner pin or skew.
Second, as you pointed out, the massive jerk when the lift starts. There is going to be so much motion blur during that section that it will be very different from the rest of the track and hard for the track area to lock on. You might have to do those few frames by hand and then resume the track.
Make sure the motion blur is turned on for the layer that is following the track or it won’t look right at all.
One other thing that you need to be aware of with video cameras is that if the motion is fast enough you can get a distortion since the sensor isn’t fast enough for the motion (telephone poles going by can have a curve to them). For these situations we’ll often take the last good frame and the next good frame, line them up and move them by hand through the same kind of motion while dissolving. That way the move is clean, but so blurred you would never know that it was just a set of stills. Just take the blur off and track the shot again after this fix is added. Then use the real footage or substitute the blurred doctored clip.
There is a massive lighting change as she drops below the floor level. you should stop the track there a few times and restart so the system can accomodate the new look of the points you have chosen to track. Thatr yellow color is really going to affect the green dots.
I see you have some green dots to track but if you are adding other spots, keep in mind that reflective things don’t make for good tracking points (the lift tubing for instance) because the reflections keep changing so the color of the area you have chosen to track will keep changing and these reflections can change faster depending on whether the reflections are facing camera or are around the curve on a tube.
One of the tricks I use for trouble tracking shots is to isolate an edge with a slit mask. So a vertical black mask precomped onto the footage that only lets through a few pixels , and then track in either the X or Y only. You have to do this a few times in both X and Y but it will let you isolate something that has good contrast but coudn’t be tracked because it is just one long line. There is the straight part of the plate in front of the talent. Good contrast between the white of her and the gray of the plate. But it’s just a straight edge. Put a thin vertical mask on it and the system will have no problem tracking it’s vertical movement. Then pick something else in the area and put it through a slit mask to get the horizontal movement (like the vertical of the same plate where it crosses her dark midsection).