Refused due to HMRC error

We have waited 8 months we got refused as the HMRC have no récord of me being employed so I investagted and it was the wrong date of birth they had on file but thats is it all sorted now my question is we have 28 days to do a reapeal but surely given our case this can all be bypassed? I mean we waited 8 months already I really dont want to wait any longer