In first case it will stay the whole season.
When you get a second yellow card, and pay the 1 match ban, the player will be 'clean' again, but when you do receive another one, it wil count as a third yellow, so when you receive the 4th, you'll get automaticly a 2-match ban.

Evenso: first red is a match ban right away....when you receive another red one further in the season, it will also count as the second one and the penalty will be a 2-match ban.


So yes, the cards will stay the whole season.