Unable to surface to receive messages
Probably not a serious issue, but I'm pretty sure submarines of all types are able to blow ballast (blow the seawater out of ballast tanks) in an emergency using air stored under high pressure. These don't need electricity or other power; they can be activated manually.
If this is true, the sub could in fact have avoided the maximum pressure depth and everything associated with it and simply gone for the surface both to survive and to receive the latest EAM messages or whatever.
But that would have screwed the plot, I guess.