This could be a power supply problem. The move should not have caused it.
One thing you could try before taking it apart would be to unplug it from the wall and then (with the power removed) press and hold in the power button. Then plug the power lead back into the wall and try to switch it on.
Hopefully you will now have a booting computer.
The place where you plug it in (wall or extension leads) should have no effect on the booting of your machine.
The green light on the back is likely to be a network light. It will come on when the network (in your case probably the Internet) is plugged into the machine and the router switched on.
Please let me know how you get on. If you are still unsuccessful, then let me know and we will go to the next stage of troubleshooting.