No start, dies while driving

If the alternator is good and the battery is good then it's you're starter. Just in case check if you can jump start it then unplug the battery and jumper cable's if you're car keep's running then you're alternator is good if it die's as soon as you unplug battery/cables then you're alternator is died.

Sounds like you have a wiring problem, check the plug connector and wiring that plugs into the ignition switch, look for discoloration or signs of over heating or melting, if ok , unplug the connector from the ignition switch and with 2 jumper wires you can hot wire you car, and test if it stays running, jump the hot wire to the coil wire, and jump the hot wire from the starter to ground until it starts up.

Engine will die when you plug it in while running, Plug it back on, start engine, if it runs the same when you unplug it while the engine is running, bad sensor, replace, if engine wants to die when you unplug it, sensor is good, hope this was very helpful.

try cheking your timing

This almost sounds like the fuel pump check valve is leaking back during the day. Try this to see if it helps. Before you start your car during the day, cycle the key on and off a few times first. This runs the pump for a few seconds and builds up fuel pressure. If it starts immediately after the key cycling, that is most likely your problem.