Possible but RARE. You would have to have a major complication which is exceedingly rare and possibly related to some other underlying disprder suvh as hemophilia.
That. Would be like getting struck by lightening. Also lp's are done below where nerves which could paralyze you run.
Interesting. This is a rumor started in eastern big city ghetto environments by parents to keep their kids behaving. If you are bad, "the doctors in white coats will stick a needle in your back and paralyze you". So far, haven't seen this outcome.
No. The routine lumbar puncture is done below the level of the spinal cord.