Thanks for the info.
/r/ follows the schwa in teacher in most American accents, but not in RP, which I tend to stick to for transcriptions. Do you have an American dictionary?
Phonemic and phonetic are close, but not the same thing. Phonemic script consists of the (roughly) 44 different sounds that differentiate words. Phonetic transcription can include any of the symbols in the international phonetic alphabet, whether or not they contribute to meaning (hence taking into account issues of aspiration, tapping, rolling, etc).