Sounds well dodgy to me, even for a first job offer. Type ratings are always speculative, do you mind telling us exactly what the hell type of aircraft they wanted you to pay £13K for the type rating on?
If it was a 19 seat turboprop or better then fair play to em - but there are far far too many shifty operators charging those kind of sums for a bloody Chieftain endorsement these days - which should be 3 grand absolute max.