Does Lucky Block Spaces have PVP?

Yes but actually no. You cannot fight each other with weapons in this minigame. The only ways to determine winners are with the least amount of deaths or the most valuable items. I.E. 0 Deaths or X number of Lucky Swords, Lucky Bows or Lucky Potions

Will Lucky Block Spaces be ported to Quilt or NeoForge?

Not as far as we can tell, mainly because the mod itself isn't on either of those loaders other than Forge and Fabric.

Which Minecraft version was the map originally on?

The map was originally made for 1.8 or 1.8.9 (both worked)

Can this minigame be used with Lucky Block addons?

We never had plans for addons to be incorporated but if you wanna give it a go with editing commands you can. Just make sure to credit Sage, Edward and Nathan when doing so.

Could this map be used with Essential if hosting servers normally doesn't work?

I can almost guarantee that it can. It worked before with the original in 1.8.9 so I don't see why it wouldn't work in this version (1.20.2)

DISCLAIMER: Essential's 1.20.2 version only works for Fabric.