I wouldn't have thought that pressing down the mark would be considered part of the act of marking, but I see that I'm wrong. The OP doesn't really say WHEN the player pressed down the mark, and that may be the deciding factor. If its right away, then there's no penalty. If it was later, perhaps to make sure it didn't interfere, I'd say the first decision should apply.
Woods are a funny thing for me. Easy on the range and 3 wood off the tee. But on the fairway a different story. Although distance wise it makes sense but I doubt I could ever get the consistency like a 3 or 4 iron.