Step 1: Understanding Biostratigraphy.
Biostratigraphy relies on the distribution and preservation of fossils to correlate rock layers across different regions. Certain characteristics of fossils are critical for this purpose.
Step 2: Evaluating the Options.
- Wide geographic distribution: Correct. Fossils with a wide geographic distribution are useful in correlating rock layers across large areas, which is a key factor in biostratigraphy.
- Long vertical range: Incorrect. While a long vertical range can be useful, it is not always necessary for biostratigraphy.
- Good preservation of hard shells: Correct. Fossils with good preservation of hard parts like shells are critical for effective identification and correlation, as they are more easily identifiable and can be used to define biostratigraphic units.
- Facies dependence: Incorrect. Biostratigraphy does not rely on the specific facies where fossils are found but instead focuses on their stratigraphic range and distribution.
Thus, the correct answer is (A) and (C).
Final Answer:
\[
\boxed{(A), (C)}
\]