Is the magnetic field energy around a current carrying wire is similar to the electric field energy associated with an isolated charge?

What I mean by this question is, as we say that the electric field energy around a charge is the self energy of the charge, similarly can we say that the magnetic field energy around a current carrying wire is the Self Energy of the current? If yes, then following questions arise :

1. Why the current is associated with certain Self Energy?

2. Where does this magnetic field energy come from? Does it come from the battery the wire is connected to?

3. Why the self energy of a charge then called its interaction energy within and with other charges around?

4. Is the self energy of a charge equal to the integral of interaction energy over its volume? If yes, then what would be the Self Energy of an Electron?

5. Is there a difference between Self Energy and Potential Energy? Or they are just two names of the same basic underlying reality?

Potential energy is a book-keeping device. Only differences in potential energy correspond to real energy. Since the electric and magnetic vector fields are defined by changes in potentials, any electromagnetic field with non-zero $\mathbf{E}$ or $\mathbf{B}$ has a (real) energy density, and this energy density is essentially $\mathbf{E}^2 + \mathbf{B}^2$ (ignoring some constants which I don't remember at the moment).