1. No, not at normal pressures.
2. Usually only in fuel cells. Two reasons: a) the electrode (Pt) is a catalyst, so you want to maximize surface area to get the most out of your catalyst. b) The products of the half reaction must be able to go through the electrode into the electrolytes, so the electrode must be porous to let the chemicals flow through.
3. acid and base will generally always neutralize each other, no matter the strength. Ionization typically deal with reaction with water, which depends on Ka.
4. They made a mistake.
5. In corrosion, we are always oxidizing the metal. That half reaction has the highest oxidizing potential amongst oxidation reactions containing water.
6. Yes. The products should be separated. However, since the products are generated at separate electrodes, it is fairly easy to keep them separate (as the electrodes are physically placed apart from each other, we can simply funnel the products into different containers)