I don't think Neanderthal is a word in TES, also your class seems overly Vampiric with all the Blood based skills.
True, neanderthal definitely isn't a TES word. Probably a better word would be Neid or something, but that could be not a great choice of theme.
Also the blood theme is more about barbarians or berserkers being able to ignore their own injuries, and seem empowered by the injuries of others. More of a mystical take on the theme, though yes it does seem more vampiric than the vampire option in this game currently. Though through proper skill animation and theming of the skills themselves, I'm sure such a class wouldn't feel or seem vampiric aside from the blood parallels.
Just a theory craft of what I think an optimal DPS setup would be here:
1. Sets: For a Stamina build
Blooddrinker or Pillars (blooddrinker is probably better) + Dro'Zakar's Claws, one piece Slimecraw, and either the Sea Serpent's Coil, Mora's Whispers, Kilt, or Malacath's Band of Brutality (if you use Rage as your main Ult). A proc damage monster helm set is probably fine as well, like Selene's or Kjalnar's.
2. I'm not sure what's better here, double 2-handed axes, front bar 2-handed axe + backbar dual wield (one handed axe + dagger), or front bar duel wield and backbar 2-handed. If I were to guess, dual wield front bar is probably optimal, but I'm not sure if Blackrose dagger+axe or the U39 Maelstrom 2-handed axe would be better. I'm going to assume Maelstrom. So front bar would be 1-handed axe + dagger, backbar would be Maelstrom Greataxe.
3. I think your bars would be as follows: Front: Malacath's Bloodlust, Circle of Death, Barbed Trap, Rending Slashes, Face Smasher, Blood Totem ult Back: Carve, Stampede, Effigy of War, Swordsinger's Aerie, Spiked Shield, Undying Rage ult
though for soloing, you'd probably drop the maelstrom axe and Stampede, and slot Sword Singing instead, or some other ability like Shout of Dismay, Warrior for that 5% damage increase, or Smash to Smithereens. That also has 8 Bleed dots including the passive from Battle Master, so Dro'Zakar's would give 818 weapon and spell damage.
Stamina food would be the way to go, and Tripots since Face Smasher + Rage gives your passive major buffs. Khajiit would probably be optimal if you're running Rage, since it removes the base Crit Damage of 50% in PVE. Rage doesn't lower the crit damage cap, it just lowers your current crit damage, so you can still stack crit damage to bring it back up. If you're not using rage, then Dark Elf or Orc would probably be the way to go (thematically Orc makes most sense, that or Nord).
With your crit rate sources, you'd probably have 43%, which is the downside of the class since it really has no source of crit rate other than the Major buff. You might be able to get 46% if you drop Nirnhoned from your weapon in favor of Precise. this is why I recommend Kilt or Mora's Whispers as options for mythic items; Kilt can be good but dropping stacks is not good, and you don't lack in damage but DO lack in crit rate. Mora's Whispers gives ~7 to 8%, which puts you above 50% even with the Nirnhoned weapon. Therefore in my opinion, Mora's Whispers might actually be optimal with this class.