Amplitude is too low, so the movement still has issues clearly. Until you get a good amplitude, trying to regulate the rate is pointless.
I would take it all apart again, use a new mainspring, check all the train wheels for wear, make sure the barrel bridge bushing isn't worn (or the main plate) which can lead to the barrel tilting inside the movement and causing drag. Use all the proper lubricants, and see if the amplitude improves.
If it does, note that the regulator can be moved directly - the swan neck is only for fine adjustments.
Cheers, Al
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