I have a 2005 dodge caravan. the headlights have

According to this there isn't one

https://fuse-box.info/dodge/dodge-caravan-2001-2007-fuses

And this confirms there isn't one. The are controlled by the Body Control Module.

https://www.chryslerminivan.net/threads/both-headlights-went-out-on-my-dodge-caravan-2005.82722/

No headlight relays or fuses on your model year. It is all controlled by microprocessors in the Body Control Module (BCM) and Front Control Module (FCM). You can try resetting them by removing the IOD memory fuse in the fuse box or the negative battery cable for 5 minutes. Have you tried cycling the headlight switch many times? Still out? There is an extended lifetime warranty on 2005/6 Dodge/Chrysler minivan headlight switches:
http://www.aboutautomobile.com/Investigation/2005/Dodge/Caravan/Headlight+Switch

It also mentions above there was a recall on the headlight switch

https://www.google.com/search?safe=off&rlz=1C1QJDB_enCA643CA644&sxsrf=ALeKk03EyFMxR9dby9JKQqr3KZhyDQ3SrA%3A1612641772078&ei=7PUeYPahBIWk_QbM57ngBw&q=2004+dodge+caravan+headlight+fuse+location

..

This is some info on your headlamps. Hope you can read it, the text is a little small.
Now, autolamps info, may be a little different.

open your owners manual to fuses and relays. look up the radio and check the fuse. your headlights will also be listed. check this first. if this isn't it. let me know

There's main fuses under the hood. Other possibilty is a bad headlight switch or daytime running light module.

Search 2005 caravan headlight problem on topix.com
You will find the solution will be the switch contacts are dirty. This only happens on high humid nights.

Quite possibly the switch, Dodge minivans also have a front control module located under the hood, it attaches directly to the underhood fusebox, if a switch doesn't fix it I would look there.

Hello! I would say it is most likely the clock spring inside the steering wheel behind the air bag. This is what provides power to the wheel and air bag itself. This could also cause your horn not to work and possibly illuminate the air bag light as well. Very common problem. Let me know if this helps or if you have any more questions

the 2005 caravans have a known faulty headlight SWITCH. Are you sure you have properly diagnosed the problem?

Your year does not use a fuse for the headlamps - they are relayed with a FCM. (front control module). These are around $150.00

Only the parking lamps use a relay in this vehicle.

Sometimes you can juggle the headlamp switch and get them to work, however that, too, will soon stop.

Be sure you have the diagnosis correct before throwing money at the problem blindly.

Thanks for using FixYa - a FixYa rating is appreciated for taking the time to answer your question.

I just had the same problem over christmas.... my machanic told me it was a toy in the door... however it was the plastic track that guides the wires to the motor.. it had a broken wire... Cost me $207 with parts, labor, and taxes.....

Try your headlight switch. If it is going bad it should affect all of these since they all work of the same switch.