Step 1: Oakley-Fulthorpe test. A double diffusion method in agar for antigen-antibody reaction $⇒$ (2).
Step 2: Limulus amoebocyte lysate test. Detects endotoxins in Gram-negative bacteria $⇒$ (3).
Step 3: Weil-Felix reaction test. Used for diagnosing rickettsial infections $⇒$ (4).
Step 4: Complement-fixation test. Can detect specific classes of antibodies like IgM $⇒$ (1).
Therefore, correct match = P-2, Q-3, R-4, S-1.