DVLA is not a helpful, user friendly organisation.

You might be yet another to be fcuked over by DVLA, their self made 'rules' mainly implemented to gather 'out of Court settlements' that offset their failing budget, and too many uninformed opinions (and I will not claim to know more for present purposes - your call!)

Half of your fears are not a problem until the expiry date of MOT and any existing Road Tax disc.

Forget the Export Permit nonsence. Someone is talking from 'down - under'!
Oops! Sorry, Cobber - no offence intended

Your problems to concentrate on are getting it out of UK with -
- V5C, main details page. Not necessarily in your name, but you will need to take with you and retain for onward travels in other countries. The Seller should send it back to DVLA to get himself 'off the hook' for the vehicle.
- Insurance. As you pass the locust like plague of ANPR cameras throughout GB (I am so glad I live in one of the World's remaining Free Countries where all that Orwellian predicted state control nonsence does not exist) they instantly flag up to the operator whether the vehicle is on the Motor Insurers Bureau database and has Road Tax (but not the MOT - that takes longer for them to find).

I am not offering solutions here but showing you what you must concentrate on and what you can ignore.

Once the vehicle (and V5C) is out of UK you can in practical terms forget anything else and travel with the V5C (with a letter of authority from whoever is named as the Registered Keeper) and local insurance. But for your own financial future's sake ensure you have insurance!

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