Ok, now that I have more information about what your car is doing and not doing I can take a pretty good guess at what's going on and what isn't working correctly on your car. There is one item on our cars (later 3rd gen and all 4th gens) where all of those items run through - the headlight control/door module (HCM/HDM). Everything seems to run through that module (headlights, DRLs, fog lights, blinkers, alarm, etc.) and when it goes bad some weird symptons can happen amd when it goes out it usually is without any prior symptons at all.
But the HCM/HDM is located on the drivers side of the car in the engine bay near the headlight. It's a black box and has two "levels" (looks like two flat blocks on top of each other). The bottom "block" is approximately 4 inches by 4 inches and the top "block" is approximately 3 inches by 3 inches and it has two sets of wires running into it (a set of 6 wires and a set of 5 wires). What you want to do is check to make sure that there isn't anything (dirt, road 'sand', etc) where the connectors connect into it and that there isn't any corrosion on the connectors. If they're clean and dry, if you have access to another 4th gen see if you can swap the HCM/HDM out of that car into yours to see if it corrects the problems. If you don't, see if you can find one at a local salvage/junk yard (usually a couple of bucks from there) and swap it out that way to see if that works. I'm suggesting doing one of those rather then getting a new one since you can only get them through a dealer and they're not on the cheapest side ($150.00 plus depending on the dealer).
And don't think think that your car is too new for that to go out either, my 97 was only 6 years old when the one in it bit the dust.

Also where do you live? If you're close to me I'd be more then happy to let you swap out one of mine into your car to see if that fixes the problem or not.