Is the word order in 我也在英國 and 你是很快速 and 你不真的在咖啡廳 correct?
First sentence is good. For the second, "快速" is more commonly used as a adverb not an adjective, so you can say "这辆车可以快速地移动" but usually not "这辆车很快速". Also I would omit the "是". So instead of "你是很快速" I would say "你很快".
As for the last one "你不是真的在咖啡厅" would sound more natural.