That's called the tachometer. You didn't provide much information, but maybe it only happens when you (or the automatic transmission, if you have an automatic) shift gears. If that's the case, it's normal. Shifting to a different gear at any given speed changes the RPM's of the engine. If it happens at times other than when shifting, something else is wrong.
It goes up while driving and down when you're idle....that's normal
Check the level of the oil in your engine. If it's ok, then you must have a faulty gauge.
You could have blown your tire or it could have gone flat.
Simple answer is the alternator
Tire out of balance is the most likely cause. Can also be a bent wheel.
Yes
Speedometer, fuel gauge, and temperature gauge.
What can cause the RPM on a car to jump while driving is a problem with the transmission. It could be a problem with the gears in the transmission itself.
could be the timing belt
could be coil
Most likely cause is a failed sending unit in the tank.
Some jurisdictions don't allow to be talking or texting while driving because it could cause accidents. You will have to check your local laws.