Facing east for davening

When facing mizrach, how accurate to you need to be?

I like to daven from a shtender at home that is against a wall but not exactly facing east. Do I have to rotate it for shemoneh esrei, or is it okay to leave it as is?

Yes you will need to rotate it to Mizrach

Should you face directly east according to a compass, or should it be more like south east (if you live in the NY area) ?

East is enough but you can get more accurate if you like.