Considering Southwest currently has 122 737-300s in service, they wouldn't upgrade them if it wasn't available at a reasonable cost:
http://www.airfleets.net/flottecie/Southwest%20Airlines.htm
Cockpit upgrades for 737s:
http://www.aviationtoday.com/av/issue/feature/Product-Focus-...
Cockpit upgrades for C172 type aircraft:
https://flyhpa.com/2012/08/the-garmin-g500-g600/
Considering Southwest currently has 122 737-300s in service, they wouldn't upgrade them if it wasn't available at a reasonable cost:
http://www.airfleets.net/flottecie/Southwest%20Airlines.htm
Cockpit upgrades for 737s:
http://www.aviationtoday.com/av/issue/feature/Product-Focus-...
Cockpit upgrades for C172 type aircraft:
https://flyhpa.com/2012/08/the-garmin-g500-g600/