Is your luggage being transferred between the two airports
or do you have to collect it at La Guardia and carry it with
you to JFK? If the latter you will have to wait for your
bags in LGA and hoof them onto the connecting bus to JFK.
There is nothing in the area of LGA and, if I were you, I'd
want to head straight to JFK anyway, which will take some
time. So, you may have to spend your five hours in airports
and getting from one to the other. Think of this as part of
your adventure enroute to India.
Lucy, Toronto (enjoying NYC until tomorrow)