Brainteaser

Here is a brainteaser I received at work today. Unfortunately, I was unable to figure out the answer however, I was able to retrieve the answer which in turn was shockingly easy...

Luke had it before.
Paul had it behind.
Matthew never had it at all.
All girls have it once; boys cannot have it.
Old Mr. Mulligan had it, twice in succession.
Dr. Lowell had it before and behind; he had it twice as bad behind as before.

What did each person have?