You're falling into the nuances of word use here where they can be applied in different context and still showing a clear misunderstanding of what the UK is. Where are you from out of interest?
Countries are useful terms to apply to the home nations in respect of their history but mainly as, for example, Scotland being a country of land - in the same way someone might say "out in the country" meaning a broad area of land. There are cultural nuances as to why it is referred to as a country in other respects. It is not however a country in the political sense remotely prior to devolution. Despite devolution, it has not been a political country on the international stage for 310 years - which is the proper use of the term that we are discussing here. This is a trouble of language, if there was another accurate word to distinguish between the two senses of "country" it would help explain. I avoided saying NI and Scotland are "part" of our country to avoid the comparison to actual countries politically united such as by the European Union. The EU is just an organisation in any case, despite some within it clearly wanting otherwise. Therefore, yes, NI and Scotland are this country - the UK. England does not exist outside of the regional sense (we are merely discussing political matters and avoiding sporting decisions here). These are facts, the misinterpretation of peoples/regions within the UK, revivalism of old cultures (at the beginning of which was often very inaccurate) and political organisations have led to a reimagined sense of these regions within the UK that are the home nations. I am dealing with legal facts alone here, not perception, which is widely available for your own study.
Unionists are called so because they want to stay united as a territory of the UK. NI and Ireland as a whole has it's own barrel of considerations aside. It is not a union, both English and Scottish parliament passed legislation that dissolved the political regions (Kingdoms at that time, from which modern European countries were conceived) into a single entity. The crowns of each kingdom were already possessed by a single ruler for 104 years, it was a formality that had been resisted until then. After that point there was no political distinction until devolution in Scotland 20 years ago.
To have some German bureaucrat have the audacity to think of involving himself in the intricacies of my country, he definitely doesn't have a fcking clue about, bellend was the most polite term I could use for him on here.