The head lights have nothing to do with the check engine light.
Because dynamic routing automatically selects the most efficient route between nodes, reducing the possibility for human error
Because many of the new cars come with Daytime Running Lights. When it's bright outside, the DRL come one. When the sun goes down or your drive into a dark place, the car automatically switches over to the headlights.
Because Mitsubishi Eclipse 1996 doesn't have automatic headlights.
read your owners manual. or maybe it's because the headlights take alot of power.
because the battery is the source of the power for the headlights. there could be an issue with the battery or the alternator can be failing.
you automatically blink because of you reflexes that your body has.
I have a 2006 Camry - automatic headlights as per below. If I get out of the car through the passenger door (rather than the drivers door; typically because I'm parked too close to something on the drivers door) the lights stay on continuously. Open and shut the driver door to fix. When locking via the remote you'll get more than the normal set of beeps if you've snuck out through the passenger door. Some equipped with automatic headlights. It's very easy check. When you start your car and it's dark around, and the headlights come on automatically then you have automatic headlights. If you they don't come on when it's dark around then you don't have such option.
Your headlights may not dim because you don't have dimmer lights. Dimmer lights can blow and leave you with just the high beams.
HID headlights are far more brighter than normal Halogen bulbs that are normally in headlights. HID are often thought of as safer because they have a blue glow to them and resemble daylight more than normal bulbs.
That sounds like a possibility. If the battery can do it because of a corroded or loose terminal, there's no reason why the cable connecting the starter to the ground can't malfunction also.
because you turn them on and off, on and off...
no because 2000-2002 they used bigger headlights than the 95-99.