Gosh, I'm no expert, but it doesn't look right to me. Maybe someone who actually knows roofs will kick in with a comment.

That junction of the gutter and flashing doesn't look right. Where does that gutter drain? Into the one beneath it, or at the other end? In a heavy rainstorm the water will run down the flashing and over shoot the gutter on the left. Have the roofers come back and fix it. The area at the top of the flashing looks strange too, that little bit of shingle over the top isn't the way to seal the flashing. Are snow and ice a concern for you?
( my roofing expertise is only from watching this old house, but Tommy Silva never does it this way)