Step 1: Concept In aryl and vinyl halides, the halogen's lone pair is in resonance with the $\pi$ system, giving the C-X bond partial double-bond character.
Step 2: Meaning Partial double-bond character and $sp^2$ hybridization of the carbon lead to a shorter, stronger bond.
Step 3: Analysis Assertion (A) is correct. However, Reason (R) is false; aryl and vinyl halides are generally inert to $S_N1$ and $S_N2$ reactions due to this partial double bond and the instability of the resulting cations.
Step 4: Conclusion Statement (A) is correct, but statement (R) is incorrect.
Final Answer: (3)