Answering General Questions: Electric Field, Potential, Capacitors

[moorec32]

I'm having trouble answering these questions and i was curious to see how other would answer them:

If the potential at a point is zero, must the electric field also be zero? (No)
Give an example.

How does the energy stored in a capacitor change when a dielectric is inserted if (a) the capacitor is isolated so Q doesn't change, (b) the capacitor remains connected to a battery so V doesn't change.

If there is a point along the line joining two equal positive charges where the electric field is zero? Where the electric potential is zero? Explain.

 

[Shooting Star]

First you should give your answers with your attempts at the explanation, so that we can understand your thoughts on these. Then you'll get all the help needed.