I don't think that's a problem, and it doesn't mean that Britain is not in Europe, IMO. Comes naturally with human perspective. "Where did you go this summer?" A) "I stayed in England"; B) "I travelled around Britain"; C) "I went to Europe". All perfectly understandable, I think..
In a non-pedantic context, yes. Otherwise, no.
And you actually traveled in Scotland and Wales but England was synonymous with UK for you. Technically incorrect of course. And in actuality you only traveled in England. As an American (yes, a US-ian) and you start in Poland at the Baltic sea and then via some nice Eastern European countries with other attractions like Kroatia, all the way down to Greece. But without further explanation and context most people would've assumed you probably traveled Spain, France, Italy etc.