Another way to suss out the me or I problem is to combine them and see whether they change to we or us. we goes with I, us goes with me.

Another song that grated when I first heard it was Sing It Pretty Sue, But having lived in The States for so long even I have used an adjective as an adverb; if only in song.

Pronunciation is also a problem with some songs, the rhymes in Oom Pah, Pah sound wrong to Americans but work perfectly well in Lionel Bart's East End of London accent.