I reread your post a couple of times, and I'm not clear on one thing.
If you are flying SFO to JFK and then on to an International destination, say London as in your profile, Admirals Club access is included.
If the itinerary is strictly SFO to JFK and you are not an Admirals Club member you will not be given access at either airport.
Not sure if this would entail 1 one day pass to purchase or 2.
Meal questions have been answered, nothing to add there.