To answer the first question, one should rest for 1.5-2 minutes. It takes that long to almost fully replenish the major fuel used during the shift.
The answer to the second question depends upon the intensity. It probably does not take the body longer to recover as the player wouldn't be able to go at a high tempo for the whole minute.
To answer the third question, the body never fully recovers from a metabolic perspective until after the game regardless of how long they are stuck out there.