I have a 1999 dodge caravan. Passenger sign turn signal flashes for a short period & goes solid. Reverse light & brake light work just fine. Multifunction switch, light sockets, light assembly & ground strap have all been replaced. No problems with drivers side or wipers, headlights etc.

make sure each of the light bulbs on all signal lights, park lights, running lights, brake lights.
if they do --
pull the flasher relays and replace them.

I would sugest a bad earth, 1st remove the brake globes & see if the sockets that house them are rusty, if so clean with emery paper & refit globes. See if this works 1st. ps don't forget to clean the globes contacts to

Most likely it sounds like a short. There may be (a) wire(s) grounding against the chasis.

Bad bulb ,& or socket

Your right rear turn signal bulb is blown.Replace the bulb and the fast blinking will stop.

You may have an issue with the directional signal switch in the steering column. Power to this goes thru that switch. It usually required removing the steering wheel to gain access to correct. You may not want to tackle this yourself unless you have a manual and the proper tools. I had to buy a special too to remove the gear selector to gain access. Only used it twice and had to get it from a Snap-On mobile truck salesman. What a pain!

there is a relay that goes to the turn signals.......and there is a switch that goes to the brakes......check them...

bad earth connection,renew earth not passing enough amps evan if showing ok ...

on the turn signal check the fuse block in the passenger compartment, it will be a square relay on the right hand side, try to adjust the relay with the turn signal on,

Your Hazard fuse is blown.
Hazard fuse has the instrument gauges on it in addition to the turn and brake lights.

When one of my brake lights went on my 07 Caravan it when short for a time and took out this fuse.