The answer is no, BB, HBP, SH and SF does not count as an official AB
yes
new answer:
There is no such thing as a sacrifice ground ball and this would be an at-bat. The only exception is a bunt.
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No. As long as it still acted as a sacrifice fly, the at bat would could like a regular at bat. A sacrifice fly would mean that a runner would have to score as a result of the hit.