Once you lean a skill, you need to open your skill window to put skill points into it (one of the left hand icons under the portraits, or hotkey k). I'm not sure what starting skills a wizard gets, but you may already have had the skills Edmond teaches. Unfortunately teachers can offer the same skills at different levels, and do not omit skills you already know at or above what they can teach.
The potion bar can be opened by clicking on the potion icon beside either characters' portrait. Health, mana, restoration and stamina potions are displayed there, the rest you need to open your inventory to use.