Paddling with a broken paddle. Practice by storing half your paddle on your aft deck. Practice in progressively rougher waters.
If you have to swim with paddle then hold just below blade and point in front of you; swim with the other hand.
Rescuing Others
If another surfskier has a broken paddle the pull your boat up next to theirs and put your foot in their footwell. Each person paddles on their side of the surfski raft formed by the two skis.
If another surfer loses their ski, paddle them to shore on the back deck of your ski.