To summarise everyone's comments Dominik - and also agree with you original statement - it's safe to say that, when learning British English, the "r" should
not normally be pronounced EXCEPT when the following word starts with a vowel, where it always should. The letter "y" very rarely acts as a vowel at the start of words in English so normally the "r" would not normally be sounded. For example in "That is their yatch" you
wouldn't sound the "r".
Most British speakers combine words in phrases like "there is" into a single continuous sound and the r is sounded for convenience. This is less common in German, where words starting with vowels are still seperated from the previous word, although ironically, in German, the written words are more likely to be combined into one!
Having said that, some British accents (Scottish, Lancashire, Cornish etc) pronounce "r"s at the end of words - like in American English - but these are regional differences that I wouldn't worry about when learning English!