A) symmetrical straight lines coming out of the particle, with arrows pointing away from the particle. A useful tool in answering these questions is to imagine what would happen if you placed a second positively charged particle near the first, what direction would it move in ?
B) Electrons in the conductor move in the cage to produce an opposing electric field that cancels out the external electric field. So the electric field strength inside the cage is zero. This means there is no potential difference between any two points in the cage. Charge would not pass through the cage and so you are safe to stand inside.