Airtrain/LIRR (need answer fast!)

Can anyone tell me if the Airtrain is running from JFK to Jamaica station, and if LIRR trains are running from Jamaica station to Penn Station?

This is the best I could google.

The LIRR is running, but there’s reduced service because some of the tunnels are still flooded.

The answers are yes, and yes. With somewhat reduced or altered schedules. (you missed out - on friday all rides were free!)

The operation of the J subway line is unrelated to the operation of the LIRR.

I’m not sure how fast of an answer you needed, but the LIRR just shut down because of weather.