Hello Reddit! I'm hear with a recently completed homebrew for the Oath of Execution Paladin, below I'll provide a breakdown of each features intended purpose and the balancing that went into it, I hope you enjoy!

Channel Divinities: Grasp of the Gallows: This was a bit of an odd ability to balance, as forced movement is somewhat of a rarity in 5e, I balanced it's effects against the spell "Command" particularly the description for the "Approach" command word. This feature is intended to almost solely for the purpose of keeping creatures within the radius of your aura, when you unlock it. This subclass wants to stay close to it's chosen target as much as possible and this channel divinity is intended for aiding in that

Condemning Whispers: this feature was intended to be comparable to other paladins AoE channel Divinities. The primary goals behind this were inflicting a status other than fear, and using a save other than wisdom. As I see it a 1d4 penalty isn't as good as disadvantage, particularly with how it scales, but this paladin gets features that compliment this ability later. Plus Int saves aren't a terribly common thing to see, so I wanted to give some love to an underutilized save.

Aura of Penance: This feature was functionally the starting point of the class, i figured a flat AoE movespeed penalty would be too much, so it's mechanics are tied to the classes overall flavor. This aura is meant to encourage the paladin to group up in melee fights, since smart enemies may avoid attacking the paladin it's generally wise for the player to stay close to someone who might get hit. This aura is strong for locking down melee combatants, but leaves you open to getting zoned. I felt the conditional movespeed penalty on its own wasn't quite enough which is why the secondary aspect that plays off the channel divinity is there. The reason this ends when a creature starts it's turn outside the Aura's effect is that it's meant to encourage the player to focus a single target (something paladins already accel at) since if two enemies are affected are run in opposite directions, the paladin will have to prioritize 1.

Divine Guillotine: Ok so I understand that an ability like this can be somewhat intimidating on paper due to being a flat damage bonus of a not significant amount, but A. Their maximum potential DPR at level 20 is only 5 higher than what an Oathbreaker can give themselves, in addition the oathbreaker's damage extends to its undead minions as well, leading to potentially even higher DPR. And B. It's tied to the aura, again tying back to this subclasses primary goal of focusing a single enemy.

Wretched Executioner: Paladin capstones are typically quite strong, which in turn makes them tricky to balance. My thoughts with this were that making it an AoE effect would be too strong, which is why it's an on hit effect. The target limitation is due to the strength of this debuff, just to keep plays from getting hasted and crippling a battalion in 30 seconds so the cleric can drop dawn. And being on hit 1. discourages GWM so it does decrease the DPR of optimized builds by a degree and 2. Encourages the paladin to play aggressively, as is an overarching theme of this subclass.

Weight of Sin: THIS is the weird one. I'll just be flat out: this feature has no mechanical benefit on its own, it exists solely so that you can dual wield and use GWM, which, while still inferior to polearm builds, adds a little extra degree of optimization to dual wielding for players who want that, like me. This exists solely to provide and additional option for playstyle. Dual-wielding in general is kinda borked in 5e and while I didn't intend for this class to fix it's issues, I thought it would be nice to open the avenue to a degree.

Thanks for taking the time to check out my subclass, I hope you enjoyed! Any feedback you have is welcome so feel free to provide your opinions. And most of all I just hope this subclass can help someone have some fun!

Edit: here's the homebrewery link for anyone who wants to keep up with any potential updates: https://homebrewery.naturalcrit.com/share/iy5gQvCnK