The hairspring looks ok in the first photo you posted. It that is concerning if the regulator causes excessive change when only moved very slightly. Better quality movements have longer hairsprings generally, which permits finer regulation. These hairsprings are reasonably long.
If you really wanted to, you could mount the hairspring alone on the cock and check that it looks right in terms of alignment with the jewel hole. Getting the terminal radius corrected can be tricky, but yours at least looks consistent.
In terms of your timing variations, the effect is being exacerbated by lack of amplitude. Don’t let this allow you to jump to the conclusion that the balance is out of poise. Get the amplitude up and see where you get to. I think your pendant positions are possibly showing excessive drop in amplitude. Given that this movement has been mucked about with previously, check the balance pivots aren’t bent, even though it has an antishock setting.