Don't skip the tutorial unless you already have the Ruthless perk unlocked, it's necessary to make some of the choices required. If you don't have it, simply the kill the sleeping lookout from the Fricker Gang in the tutorial and you'll get it.

Go in the left cave, open a crate, go in the middle cave with crowbar, open the door with the deadbolts, go in the right cave, spider attacks gang, free the cook, loot the bar and interact with the gang to let the spider get them. Reenter the cave to grab the leader's tatooed tooth.

Get the three gang members outside the sandwich shop.





Go through the outhouse, walk right and use the plunger to annhilate the gang, gather the remains.




Return the goo to town.

Do hat puzzle again, this time when you go to arrest them there's another option to execute them, take it and return the holey hats to Dirtwater for more meat.

I switched off nostalgia mode.
You don't have to mess around the machines this time around, although you can if you want to for the ghost pickles, they make you harder to hurt in combat, maybe worth it if you're trying to do the really hard mode achievement.
Kill all three ghosts and their ghostly cucumber attendants, retrieve their remains.

It's possible to do this part by just charging in and having a fight with them, same end result.
If you gather a skeleton bone, a can of oil, a lock and a match, you can now sneak past the dog, oil the squeeky gate, lock them in their house and burn them alive.