Link to thread: Here!
Are there any injuries sustained? Describe them briefly:

Emporio took a blow to the head while falling from the cave in- maybe check him over for a concussion.

Firepaw meanwhile has minor bruises from his own tumble to the cave, but came out surprisingly unscathed otherwise.

And then Ingo is entirely unharmed, while Emmet has a sore throat and needs some honey nomel tea.

How do they ultimately deal with escaping the cave system and getting home?:

Getting out of the cave involves relying largely on Ingo's expertise as warden, where he would help travelers navigate the cave tunnels; this experience combined with Emmet's Will-o-Wisp flames help to first locate Emporio, and then locate Firepaw, and then after everything, get back out of the caves. Emmet also innately has cave instincts, as Hisuian Zoroark live in winter caverns.

As for getting home, all along the way forward they set up markers- specifically, scorch marks, strands of Emmet's eerie glowing mane tied to branches, and the occasional cairn formed of stacked rocks they could find along the way.

While being disoriented by the fog caused trouble here, a newfound target for everyone's emotions resulted in everyone shouting at the fog as they scented their way back- sometimes manifesting as Snarl in Emmet's case. Ingo successfully performs Infernal Parade, which also helps chase lingering pokemon back, and Firepaw manages Roar. Combined with Emporio's Focus Energy to keep himself somewhat focused on the right 'target', they can at least stay on trail.

Fortunately for all of them, it's easier to go back the way they came on a trail that was placed, than it is to try fruitlessly to go deeper into the woods where no trail ever existed.

Do they gather anything from the forest to bring back, or leave it alone?: Take only pictures (with your mind) and leave only footprints- or in this case, a bunch of rocks and glowing hair (and scorch marks on the dirt). The group does not gather anything, though they've naturally done their best to take note of all they experienced.

Do they all make it out without rescue?: They managed to make it out! And with any luck, that cairn-fur-scorch trail will help find some more successful, permanent method of marking the way onward.

Or even just marking a way to Not Go Unless One Wants To Get Fog-Brain. That's Dr Denne and the Guildmasters' call, presumably.