The answer to 'why is my cockroach bites' is that cockroaches do not actually bite humans. Cockroaches do not have the ability to bite or chew on human skin. The symptoms you are experiencing are likely due to an allergic reaction or skin irritation caused by contact with cockroaches or their droppings.
Cockroaches can trigger allergic reactions in some people, leading to symptoms like rashes, itching, or swelling. Their feces, saliva, and shed body parts can also cause skin irritation. If you are experiencing any kind of reaction, it's important to properly identify and eliminate the cockroach infestation in your home.