I'd go with this.... Option 3
Though really, if in this situation I would tell them to FIRST, stay calm and not move any more than needed. Then, get to the edge of the ice and begin to kick their legs so as to make it easier to get their belly up on the ice (assuming the hole was too large for the elbow thing). Once on the ice I would have them roll or shimmy (as flat and spread out as possible) towards land. No telling where it might break again, so I'd be instructing from safety.
Then, we'd remove his clothing and mine and wrap in a tiny emergency blanket I still had, hugging to raise body temp.
*If he was already too tired to hoist himself out I would unwind the Paracord belt I was wearing, and throw it to him, hopefully able to reach while I'm still on solid ground. Then pull him out and to safety.
But damn, all that would totally suck. 😕