How long did it take it them to figure out that Maggie didn't have an implant.

Found a 47, Maggie says to meet them at gate 47.

Why do I get the idea that on the other earth there was some sort of Nuclear incident and this is why they have banned technology? And if they truly hate it why not go after people who make it?

My "nit-picks" are as numerically proceeds:
1) During the commencement Capt. Margaret Beckett's double removes her top and places on a reddish one. Then in a sequential scene, she is streaking down a flight of stairs donning black skintight pants. She was previously donning a skirt, and the attire was being changed as she went along. Do you mean to tell me that she was removing her skirt and placing on the pants while hopping downstairs?
2) As Capt. Margaret Beckett's double is removing the alleged self-reliant computer chip and is later to be uncovered by Rembrandt Brown, the chip socket situated on her neck is nearly removed with the computer chip. Did the militaristic scientists intend to install those chip sockets so loosely?
3) Why is that gray-hooded executioner in the anti-technology dimension, who is reading from the book of Diablo prior to having Rembrandt Brown executed, nodding his head during Quinn Mallory's "technology is a tool...it's neither good nor evil" speech?
4) I found this episode quite resemblant to the Star Trek: The Original Series episode in which a book is stranded on a planet and consequently causes the inhabitants to lead their lives as according to the book, which is a book regarding the Mafia. The same applies to this anti-technology world, considering they had based their entire culture and behavior on a book that was apparently one pertaining to a business organization or some type of PC game (e.g., Doom, Duke Nukem 3D, etc.).