Wow, this is a really unique game. You must have spent a lot of time designing it. I like the potential of the gameplay and I'd love to see you improve upon it with a full release.
I think you should remove the tutorial that's a lengthy read and put in scripted levels designed to teach the player how to play the game. I'm the type of person that likes playing around with things and figuring it out so the tutorial was a big turn off for me.
You should add in keyboard controls. Honestly, it was quite inconvenient to have to move pieces using the on-screen arrows rather than wasd or the arrow keys. You could even bind the action commands to the keyboard.
When you place the server data packet, you can override the walls but it seems to move enemies onto another location if it overlaps? It's a tough design choice. I think you should just prevent any overlapping before you send the data or allow the player to move around the pieces before sending it so it doesn't overlap.
Overall, good job on the game!