My passenger headlight is out and the drivers stays on for good 10 min after the truck is turned off and it will blink several times. Also while driving the drivers light will change from daytime running brightness to full nighttime brightness
Check the supply and fuses and bulb unit to get the passenger side working : this is for safety and therefore higher priority than the other questions you ask.
Explore has 2separate fusses 1 for the right side and 1for left head light Left light sounds like it might be trying to tell you that the right light is out or it has something to do with the alarm system
If it's a 2016 model year, it should still be under factory warrantee. If so, have a Ford dealer fix it.