Capitalisation

I've got to get this off my chest because this capitalisation thing has been driving me nuts and the more research I do on it the more confusing it becomes.

Why is it then when I see the phrase "crown court" it's always written as "Crown Court" but when I look it up in the dictionary it's listed as "crown court"? And it's not the case that people are referring to a specific crown court, as in the following taken from I, Partridge: "... because if he'd been 20 years older he would have been up in Crown Court." As there are many crown courts, shouldn't everyone be referring to them as "crown courts" unless they're talking about a specifically named court, say, Reading Crown Court or Oxford Crown Court? Wikipedia alludes to this in the following: "Rather than speaking of a location at which the Crown Court sits, it is common practice to refer to any venue as a Crown court, e.g., Teesside Crown court." But this only adds more confusion because what is "the" Crown Court when there are many of them dotted around the country? And if there is some abstract meaning for a specific "the" Crown Court why doesn't the dictionary have a listing for "Crown Court" or "Crown Court, the" in addition to the generic "crown court" (which, as can be seen with the Wikipedia entry, can also be written as "Crown court", apparently as a matter of personal choice as to whether or not to capitalise "Crown", as explained in the listing for "Crown" in the Collins online dictionary)?

Another massive confusion regarding the naming of regions is with exemplified when referring to East European or Eastern Europe. Almost always both these words are seen capitalised, yet there is no specific listing in the dictionary for "East European" as there is for, say, "East Anglian", or "Eastern Europe" as there is for, say, "East Anglia". So the implication is that we should all be referring to "east European" and "eastern Europe" because this part of Europe has no more an official or distinctive identity or geographic designation then central Europe, southern Europe, western Europe, or northern Europe. Some newspapers like the Guardian do refer to "eastern Europe" and "east European". Like the British, Americans usually write western Europe, northern Europe, central Europe and southern Europe, southeastern Europe, etc., etc. when referring to those parts of Europe but, as listed in the American OED, they, like many Brits, usually write "Eastern Europe" - why? The British OED has no such listing for "Eastern Europe" and the dictionary even goes out of its way to point out that "Eastern Europe" is only listed as an entry in the American version (obviously important enough for the British OED to point this out!), so what is the OED implying by pointing this out? This is totally baffling even for the dictionaries because the online Collins dictionary has a listing for "East" in which they refer to "... the countries in Eastern Europe and Asia ...", so I emailed Collins to ask them if they consider "Eastern Europe" as having as distinctive an identity as, say, "East Anglia" why have they no listing for "Eastern Europe"? No response.

Finally, how would you begin a sentence with a trademark word such as "adidas"? Would you capitalise it to "Adidas" or not?

Thanks

Peter