Trees do not have the option to be put in my Build Buy Inventory

Try moving the whole mods folder to another place, delete the localthumbcache.package and then test to see if the issue remains without mods/cc there.

I just did, it remained!

Is this happening with other households in your game? Try testing to see if it occurs with other households also.

For the second pic, did you try just moving the tree without the planter ?

The crystal tree might be a bit special. Never tried to put that in my inventory and I don't have one to test.

I have tested with the crystal tree, and could put it into the inventory.

I couldnt do it with other households

Repairing the game may help. If the issue remains after doing that, try resetting your sims 4 folder, and testing in a new save game without putting back any of your data in the sims 4 folder and see if the issue remains.
https://sims4.crinrict.com/eng/2014/09/resetting-the-game-to-factory-settings-without-reinstalling/

This is happening to me too! I have two crystal trees and a bunch of plants that won’t go in my household inventory and I want to move lots