To move tiles you need to store it.
You cannot store tiles with items on them.
Ive noticed too that you can place things where youre not supposed to be able to place things and the game bugs out.
In my case gold palms placed over other items, causing buildings and characters showing up in the store despite being placed and walking around.
A restart and a lot of storing and putting things back helped but I doubt it will help you.
Contact support so they can sort it out.
This Forum is provided by EA but is designed as Player helping/advising other Players. In this case there is little other players can do for you.
Contact EA support
http://help.ea.com/en/contact-us/new/ and ask for a gameadvisor. Same login as the game.
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+++ This Forum is provided by EA but it is designed as Player helping/advising other Players - meaning we are not employed by EA +++
D'oh! - Em