With apologies for the piano-oriented answer -
1) Is that on an ornamental note, or does it count? There's a difference in the timing of slashed/unslashed ornamental notes on piano: if I remember correctly, slashed is played staccato, unslashed is played legato.
2) Yes, kind of like a trill, but really a series of sixteenths, for the duration of a half note, alternately A and A#. Whichever one is written first should be the one that you start on.
3) The German word for bow is Bogen, so perhaps simply play arco?