If brake lights work(uses same wire as rear turn signals) and front turn signals work then problem will be in the multi-function switch or its connector
If front turn doesn't work then could be Flasher.
Do the 4-ways work?
Front and rear
The license plate bulbs use the same power wire as the tail lights, the brown wire runs to rear of vehicle then splits off to all the "parking lights".
So if tail lights come on then the brown wire is OK to the rear of vehicle but going to the License plate bulbs it is broken, or local Ground is bad just for those bulbs.
Fog lights get power via 2 relays in the engine fuse box
The switch on the dash activates the power relay that sends power, from a 20amp fuse in engine fuse box, to the fog lights and the "on indicator" on the fog light switch.
So if indicator is not coming on then relay is not activating, if indicator does come on the wires to bulbs are the issue.
The second relay looks like an override, which turns off fog lights if High Beams are used.
Do your high beams work?