Can I reverse an iron redox reaction with potassium hydroxide and electricity?

For a school project, about clean energy, me and my team are trying to build an iron battery. We are using a piece of iron (anode), potassium hydroxide (electrolyte), carbon electrode (cathode) arranged as shown below:


[![Iron Battery Diagram](https://i.stack.imgur.com/xpOBI.png)](https://i.stack.imgur.com/xpOBI.png)


As to generate electricity from the following chemical reactions:


$$
\begin{align}
\ce{Fe + 2 OH- &-> Fe(OH)2 + 2 e-}\tag{1}\\
\ce{3 Fe(OH)2 + 2 OH- &-> Fe3O4 + 4 H2O + 2 e-}\tag{2}\\
\end{align}
$$


Then:


\begin{align}
\ce{O2 + 2 H2O + 4 e- &-> 4 OH-}\tag{3}\\
\end{align}


And the overall reaction is:


\begin{align}
\ce{3 Fe + 2 O2 &-> Fe3O4}\tag{4}\\
\end{align}


Will this succeed in producing some electricity? And, can the redox reaction be reversed by having an external power source with sufficient voltage like a car battery, then hooking the negative terminal to the iron and the positive terminal to the carbon electrode?


