^Again, I already addressed that specific point. It's logical that they both would've been deposited near the Starfleet base, and it's logical that they both would've sought shelter in the area. If that cave was the only shelter, it's not that unlikely that they would've both found it. Yes, it is a bit of a coincidence that Kirk happened to head in that direction from the escape pod, but it's a lot less of a coincidence than if they'd been placed on the planet randomly. And for all we know, he'd been following a spiral path outward from his landing site, so he would've found the cave eventually.