Solved LuckPerms/Essentials multiple homes not working.

Try using the group name instead of the number. And make sure the groups with the amount of homes are set in essentials.:

(You’ll have to scroll down to the section where it lists the homes) essentials:

Rookie: 3
VIP: 6

luckperms:
Essentials.sethome.multiple.Rookie(or whichever rank)

 

what does your ranks look like in luckperms?

 

Here's how my essentials config file looks like:

############################################################
# +------------------------------------------------------+ #
# | EssentialsHome | #
# +------------------------------------------------------+ #
############################################################

# Allows people to set their bed at daytime.
update-bed-at-daytime: true

# Set to true to enable per-world permissions for using homes to teleport between worlds.
# This applies to the /home only.
# Give someone permission to teleport to a world with essentials.worlds.<worldname>
world-home-permissions: false

# Allow players to have multiple homes.
# Players need essentials.sethome.multiple before they can have more than 1 home.
# You can set the default number of multiple homes using the 'default' rank below.
# To remove the home limit entirely, give people 'essentials.sethome.multiple.unlimited'.
# To grant different home amounts to different people, you need to define a 'home-rank' below.
# Create the 'home-rank' below, and give the matching permission: essentials.sethome.multiple.<home-rank>
# For more information, visit http://wiki.ess3.net/wiki/Multihome
sethome-multiple:
default: 3
newbie: 3
rookie: 3
member: 3
captain: 4
veteran: 4
specialist: 5
master: 5
elite: 6
legend: 7
myth: 8
immortal: 10
demi-god: 12
herobrine: 14
homeI: 15
homeII: 20
homeIII: 25

# In this example someone with 'essentials.sethome.multiple' and 'essentials.sethome.multiple.vip' will have 5 homes.
# Remember, they MUST have both permission nodes in order to be able to set multiple homes.


So I'm assuming you just list your luckperm ranks and then just reference them by giving each rank their 'essentials.sethome.multiple.(rank)'