amplitude is a lot more healthy with the tension spring removed, still low but it looks like your seconds tension spring might need some adjusting.
before any of that though, seeing a clear photo of the hairspring would either confirm or rule out a lot of things.
hard to tell from the photo but the hairspring looks a bit dirty, if there is oil or something on the coils and its causing them to stick to each other as it expands and contracts that will make your rate pretty crazy too. i had wanted to see it all in situ to see distortions as less obvious ones cant be seen when the bottom pivot is not constrained. I assume that is what Al was looking for too.