AFAIK you can do either.
But why stop at Southampton and incur a large landingfee.
Fax form to the local copshop (I think that Kidlington is yours for SB purposes) and away you go. I have gone with less than 24 hrs notice as long as they know and you have spoken to them.
Don't forget drawback on the way out and cheap fuel when you are there.
The Jersey clubhouse is nice with reasonable food.
FD
PS Beauport is sumptuous but not for the fainthearted when it comes to settling the cheque!