Re-registering a car from the Channel Islands in the UK

Hi, wondering if can help. I originally bought a car in the UK a couple of years ago and moved it over to Jersey. I had to pay additional GST on it on arrival... now I am moving it back to the UK. I am staying for a bit in Jersey, while the family move to UK.

I guess the questions are:
- do i register it in UK in my own or my partner's name?
- I presume no VAT will need to be paid again?

No idea on this stuff. Any advice appreciated. Thanks