Southwest should be one of the carriers.
Unfortunatly I don't know.
The airlines that fly from JFK to Midway in Chicago are Delta and Sun Country. Neither offer nonstop flights for this route at this time. Nonstop flights are available for JFK to Chicago ORD on American, Delta, and JetBlue.
1hr 39min to 1hr 59min Chicago OHare (ORD) to Memphis (MEM) by a nonstop flight operated by American Airlines, United Airlines, US Airways, Mesaba Airlines or Northwest Airlines.
19 to 25 hours nonstop
11hr 26min to 11hr 55min Tokyo Narita (NRT) to Chicago OHare (ORD) by a nonstop flight operated by United Airlines, ANA, Japan Airlines or American Airlines.
2hr 26min to 2hr 36min Ft Lauderdale (FLL) to San Juan (SJU) by a nonstop flight operated by JetBlue Airways or Spirit Airlines.
Spirit's other nonstop destinations from Denver are Chicago O'Hare, Dallas/Fort Worth, Detroit, Fort Lauderdale, Houston Bush Intercontinental, Las Vegas, Minneapolis/St. Paul and Phoenix. However, you can speak with Spirit Airlines Helpdesk if you want to book Spirit Airlines Reservations.
1hr 40min to 1hr 43min Ft Lauderdale (FLL) to Montego Bay (MBJ) by a nonstop flight operated by Spirit Airlines or Air Jamaica.
Here is a list of direct nonstop flights from Chicago, Illinois to Hawaii:United Airlines from ORD to HNLUnited Airlines from ORD to OGGUS Airways from ORD to HNLUS Airways from ORD to OGGAmerican Airlines from ORD to HNLAirport codes:Chicago O'Hare International Airport (ORD)Honolulu International Airport (HNL)Kahului Airport (OGG)
About 3hr 10min Newark Liberty (EWR) to Nassau (NAS) by a nonstop flight operated by Continental Airlines.
7hr 45min Bristol (BRS) to Newark Liberty (EWR) by a nonstop flight operated by Continental Airlines.