Very possibly the presser foot is out of alignment with the feed dogs.
Check to make sure the foot fits the shaft correctly, some aftermarket feet do not fit Singer shafts properly.
Then turn the hand wheel till the feed dogs are all the way up.
Lower the presser foot.
Sight down both sides of the foot and the dogs, they should be exactly parallel with each other.
When they are out of alignment you will get the pulling and twisting like you have.
They aren't too hard to adjust, but diagnosis is first.
Joe