Delta outlines their meal choices for flights on this page
http://www.delta.com/traveling_check....../dining.jsp
with a link to the menu of stuff they will be more than happy to sell you on the flight if you get hungry
As to your tickets, you don't mention if the flights are on one ticket or not. If it's two different tickets (LA to JFK on one ticket, and JFK to SNN on a different ticket) they may treat you differently than if it is all on one ticket and you are late.