This thing that bugged me the most was like: Okay, first Spock abandons Kirk on some ice planet that is close enough to Vulcan to see it hanging in the sky like the moon... that bugged me. But then he randomly runs into Spock there? That SUPER bugged me! What are the odds they would be dumped in the same spot on this odd planet, and that that spot would be with 14km of a starfleet outpost?
Stretched credulity if you ask me.
Yeah, I thought the movie was great, but that part was rather ridiculous. Also, how long has Spock been there, on that planet? And there just happens to be this Starfleet base with Scotty on the same planet, and it's within walking distance? Oh well. Best just not to think to hard about that part of the movie, I guess.
I assumed Spock intentionally meant for Kirk to land near the base. Stranding him 1000km from no where would be beyond reckless.