Yes, yes, and yes.
Really, to each his own. What is acceptable is a matter of personal preference. There is little right and wrong in these questions. Nearly every bowyer here uses a few power tools now and then, especially a band saw and belt sander. Still others (with much more time on their hands) like to work a primitive bow in a primitive way, with hand tools only. And, you will find plenty on this site who use as many power tools as possible, whenever possible to make bows as fast as they can OR because they are just at that stage in life when rasping and drawkniving is physically too difficult to do exclusively.
As anyone with any experience will tell you, however, is that with the speed that power tools brings comes the speed in which you can turn a great stave into firewood.
TEHO,
Doug