Temp goes to red and warning light come on,but goes back to normal after a while when driveing

An overheating engine will often shudder and make a unique popping/rattling noise. Is it doing that? If it ever does that it's time to call a tow truck or further risk major engine repairs.
Try turning on your heater. Your heater makes its heat by blowing air through a mini-radiator (like the one at the front of your car) and pushing that hot air through to the inside of the car. Is the air coming out of the vents warm to normally hot or I-just-opened-the-oven make your skin tingle hot? Check and make sure you have coolant (when the engine is cool) and fill to where it should be. There may not be enough to circulate through the cooling system but enough to hit the temp. sensor and give you warnings.