Step 1: Aerobic bacteria.
Aerobic bacteria require oxygen as the terminal electron acceptor. Thus, (i) is correct.
Step 2: Anaerobic bacteria.
Anaerobic bacteria grow without oxygen. They use other compounds (like nitrate, sulfate, CO$_2$), not DO. Thus, (iii) is incorrect.
Step 3: Facultative bacteria.
Facultative bacteria can switch between oxygen (if available) and other acceptors like nitrate/nitrite. Thus, (iv) is correct.
Step 4: Check nitrite for aerobic bacteria.
Aerobic bacteria do not need nitrite as an electron acceptor because they directly use oxygen. Thus, (ii) is incorrect.
So, the correct statements are (i) and (iv).
Final Answer:
\[
\boxed{\text{(A) (i) is correct; (iv) is correct}}
\]