If any terminals wiggle that couple be a sign of something broken internally. I have seen motors where low voltage as 220V, and high voltage was 440V - they were 3 phase, so probably not what you are looking at, but there is a possibility that your motor can't run on 110v)
At this point you are beyond what I can help you with on the internet. Maybe i could see something obvious if I looked in person, but probably stuck finding someone who can come visit in person to see what you are missing.