Step 1: Understanding the Concept
The parasympathetic system is the rest and digest part of the autonomic nervous system.
Step 2: Check the statements
(a) The cranial outflow runs in nerves III, VII, IX and X, so (a) is true.
(b) Pre-ganglionic fibres are long and post-ganglionic fibres are short, so (b) is false.
(d) It speeds up peristalsis and micturition, so (d) is true.
(e) Fight or flight is controlled by the sympathetic system, so (e) is false.
Step 3: Choose the option
The pair of statements (a) and (d) is offered only in the third option.
Final Answer:
Statements a and d are the correct pair.
\[ \boxed{\text{(C) }\text{a and d}} \]