That's exactly what is is. Model: HMC-1000-PHC
I just talked to the tech and he says he doesn't think it has anything to do with the shoe because he said if it was, the car would shake a lot and he said it looks like it's in pretty good condition.
He said the problem is the elevator loses direction even though they set it yesterday. When the elevator starts, he said it starts too sharp. He's going to replace a tiny valve within the valve and he thinks this might be the problem.
He also said that although this isn't urgent, we should change the oil (elevator is under 5 years old) because the color doesn't look right and it looks dirty.
This loss of direction sounds like the level/pausing fault and not the safety gear fault. It appears to me there is 2 faults here. If the direction is stopping of loosing, it could be a trailer fault losing the up levelling imput magnet( if this has them). It does sound like you have been in the wars but it appears to me it would be possibly very hard to trouble shoot.
