I've tattooed for years, and I've done tattoo makeups for plenty of projects. Watched the old Tattooer that started me do the tattoos for "Last of the Mohicans" with a box of markers. Good old permanent markers work the best. Nothing fancy. That's exactly how Depp's were done. You can get Design or Prismacolor markers in an dark cornflower blue that looks just like a hand poked piece. Depp's are actually not period correct in the style or color that they would have been. Clooney's in "Dusk till Dawn - Sharpie. Let it dry well before you let it rub against anything, and hit it with a sealer. Stays on, comes off with nail polish remover. Sure there are fancy ways to do it, but $1.99 to me seems about right. As far as the brand is concerned, wax paper and latex. Build it up, peel it off, spirit gum it on. Just make sure you know how to set up spirit gum and set greasepaint. It'll be there till you rip it off. There's a reason all the old Monster Makeups still look great, it's the standard, old school materials and techniques that are the cheapest and have the most impact. There is not a modern makeup, no matter how cutting edge and expensive, doesn't have greasepaint and glue involved. Know how to use them and you literally can do anything. Frankenstein was only putty and cheese cloth right?
Rigid Collodion. Magic stuff and old school as it gets, could also work for your brand.
The most important thing that most Pirate or Action Costumes get wrong is the weathering of the costume and the dirt on the character themselves. Go change your oil or do some yard work in the costume a few times. Pay attention to how you look when you're dirty. Leave it outside for a few weeks. Get it wet and stuff the pockets with rocks. Sand the hems. Pay attention to where it would wear out. You can weather your character, but if it's not logical wear it looks false. The Costume was just started when they put it together for "Pirates." The bulk of the work is making it look authentic. That authenticity is cheap or free to come by. Buy some Fullers Earth and put it in an old sock and bang it all over yourself. Who cares how the fake tattoo looks if you're a shiny Pirate. Mess up your teeth. There are tooth enamels that come in black and brown. Goes on dry teeth comes off with rubbing alcohol with no damage. Mixing up food coloring, swishing it in your mouth every now and then works great. $1.00. Blue and green makes a great Zombie mouth, yellow, red with drops of blue and green make great period teeth. It wears off and is safe. You'll have to re-apply it every hour. More Pirates had bad teeth than had tattoos or brands. Get some food and drink down your front, those Golden Agers weren't fussy eaters.
Let me know if you have questions on "how to" any of this, maybe I can help.
Or the flesh latex. 
