Why are you getting so upset about having no plates ??
Just go to the RTA, tell them what happened - They can re-issue you with new plates. Might take 6 weeks to get them as they may have to make new ones up - In the mean time, ask for an interim set. That will get you back up and running. This is the process you would follow if your plates were stolen or damaged and you would normally need to pay for them - However, in your case, because there was an error that had nothing to do with you, and all parties acknowledge this (so you say, anyway) then they should waive any fees and charges.
Good Luck