**Core Concept**
The patient is experiencing a severe allergic reaction to penicillin, characterized by a skin rash, joint pain, and kidney involvement. This reaction is a classic example of a type III hypersensitivity reaction, mediated by immune complexes and complement activation.

**Why the Correct Answer is Right**
The patient's symptoms, including urticaria, joint pain, and kidney involvement (indicated by the presence of red cell casts and protein in the urine), are characteristic of a type III hypersensitivity reaction. This type of reaction occurs when antibodies bind to the penicillin molecule, forming immune complexes that deposit in tissues, leading to complement activation and inflammation. The kidneys are particularly susceptible to this type of damage, resulting in glomerulonephritis.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it describes a type I hypersensitivity reaction, which is characterized by an immediate allergic response, typically involving the release of histamine and other mediators from mast cells, resulting in symptoms such as hives, wheezing, and anaphylaxis. However, the patient's symptoms are more consistent with a type III hypersensitivity reaction.

**Option B:** This option is incorrect because it describes a type II hypersensitivity reaction, which involves the binding of antibodies to cell surface antigens, leading to cell destruction, typically through complement activation or antibody-dependent cellular cytotoxicity. The patient's symptoms do not suggest cell surface antibody binding.

**Option C:** This option is incorrect because it describes a type IV hypersensitivity reaction, which involves T-cell mediated inflammation, typically resulting in skin lesions or other tissue damage, such as contact dermatitis or graft-versus-host disease. The patient's symptoms are more consistent with a type III hypersensitivity reaction.

**Clinical Pearl / High-Yield Fact**
In patients with a history of penicillin allergy, it is essential to consider the possibility of a type III hypersensitivity reaction, which can manifest with kidney involvement. This highlights the importance of carefully evaluating patients with a history of allergy before administering penicillin or other antibiotics.

**Correct Answer:** D.