Chemical bonds store potential energy.

Yes. It potential chemical energy.

The form of energy that comes from chemical bonds is known as chemical energy. Chemical energy is considered potential energy, as it requires a transformation to occur.

Yes, it does. Chemical potential also depends on pressure. It is defined as

Thus, the formula suggests that chemical potential will change at a different T and P. For example, for non ideal gas, its chemical potential is

pH refers to the chemical potential of hydrogen.