Appeal or Reapply?

[eicook]

I am a Canadian who just applied for the Tier 5 Youth Mobility UK visa. I've got a job set up (no start date as of yet), have sufficient funds, etc, everything I need to be accepted with this visa. But I received an email yesterday saying it had been declined. I was sure I had probably made an application error, and just needed to fix it.
I went to pick up my passport package today, and my refusal letter says I have been refused for the Tier 5 Government Authorisation visa. Well of course I was refused for this visa! So I went through my documents, the receipts I had, everything I could think of that would have my information on it, and it all said I had applied for the Tier 5 Youth Mobility visa. I'm not sure why it went through as applying for the Government visa. I just want to fix this!
So what do I do now? Do I appeal this visa? Or do I just reapply for the Youth Mobility visa? How do I make sure this doesn't happen again?
I'm pretty frustrated because this wasn't a fault of mine (or was it?).
Thank you in advance for any information or advice you may have!

[Casa]

I would ask for a re-consideration due to being refused for a category of Tier-5 that you hadn't applied for. A Tier 5 Government Authorisation visa requires a 'certificate of sponsorship'. If it's accepted as purely an administrative error, the refusal should be over-ruled. That's assuming you applied for the correct category of Tier-5