No Battery Light, No HD.

It sounds like you have two issues here. The first is your MagSafe charger is not working correctly, either the charger is bad or the I/O board within your system. MacBook Air 13" (Mid 2013-2017) I/O Board and here’s the guide MacBook Air 13" Early 2014 I/O Board Replacement

Review this Apple T/N Apple Portables: Troubleshooting MagSafe adapters Be aware there are a lot of fake chargers out there make sure you get a real Apple charger as you can damage your system with the fakes OEM MagSafe Chargers vs Cheap Imposters: Teardown for Truth

Your other issue is the system inability to find a workable OS to boot from hence the blinking question mark About the screens your Mac displays as it starts up.

Once you get a good charger and/or replace the DC-In Board repairing the OS should be easy on your SSD. If you can’t you’ll need a new SSD drive OWC Aura Pro X2 SSD and MacBook Air 13" Early 2014 Solid-State Drive Replacementand heres the guide MacBook Air 13" Early 2014 Solid-State Drive Replacement