The contact tape on the face of the club was a violation of 4-2b. If he didn't use it, in match play there would be an adjustment to the state of the match by deducting one hole for each hole that the breach occurred, maximum 2 holes. In stroke play, 2 stroke per hole, maximum 4 strokes. If he used it, he would be disqualified in either form of play.
But as others pointed out, if it was match play and you did not make a claim when you noticed it, you lost the right to make the claim.
When he removed the tape when it became lose, he was changing the playing characteristics which is a violation of Rule 4-2a with the same penalties applicable. Again, you could have made a claim, but you didn't.
As for lead tape, it can be applied before the round, but not on the face. If it becomes loose during the round, it can be repaired. If it falls off, it can be reattached or a new piece of identical size can be applied in the same place. Decisions 4-1/4 and 4-2/0.5