There are a couple of issues to do with the EU and Scottish independence.
Firstly there is the matter of whether Scotland’s membership of the EU would be automatically continued in the event of their secession from the UK. Most opinions seem to suggest that it would not and that Scotland would have to re-apply for membership. Presumably they would be considered after the current candidates have had their applications determined. The current list includes Iceland, Macedonia, Montenegro, Serbia and Turkey. As well as those, Serbia and Macedonia are clamouring to get aboard as are some of the Balkan States - notably Albania and Bosnia and Herzegovina. Should they not lose the will to live during this period there is no guarantee that Scotland will be admitted and if they do they must adopt the euro. Mr Salmond and his cronies have been suspiciously quiet on this matter and it is disingenuous to say the least that they have published their proposals for independence without a proper answer to this question being provided.
Secondly, although it has not been mentioned by the UK government, there almost certainly will be an effect on the membership of the rump of the UK which will be brought about by Scotland’s departure. I imagine these will be mainly financial along the lines already mentioned. However I an not so optimistic and I suspect the EU will still want the same amount of cash from the UK so it will fall as a heavier burden on a per capita basis.
As far as the analogy with a gentlemen’s club goes, if the UK is to be likened to a club LG is quite right in that individual members should not be compelled to retain their membership if they wish to leave. However, to continue the analogy, it could be argued that all the members should be able to say if they want a member expelled and this is an option that has never been offered to the rest of the UK, in particular to the English. There is no doubt in my mind that England would be better served as an independent nation but the various devolution and independence options discussed centre only on the benefits those arrangements provide for the smaller nations. England has to take what’s forced on them by these arrangements.
However, the UK is not a gentlemen’s club from which members can resign at will. It is a unified political entity and an independent nation state in its entirety. The Act of Union, into which they entered freely and, some would say, eagerly, saw the Scots forfeit their sovereignty in perpetuity and not until they got fed up with it. As a result they have no more right to demand independence, or especially to dictate beneficial terms of that separation, than Cornwall has.