The air from the register/vent blowing into a bedroom must find its way back to the central cold air return somehow. This is usually accomplished by having a large enough crack/cut under the door above the carpet or flooring for the air to move through. If you do not allow the bedroom air to flow back to the central cold air return, the bedroom will become uncomfortable - usually to hot or to cold. Another solution is to install a grille in the bedroom door to allow the air to flow through.
It is never a good idea to restrict or block a cold air return.
You actually "need" only one cold air return for a forced hot air/AC system to function; however, one cold air return per level or floor improves the efficiency of the sytem.
Supply and return grille locations are figured by the HVAC engineer or the contractor.
Do not place a return air supply in your bathroom; and, unless your heating your closet you do not need one in there as well.
You will hear air circulating in the cold air return (or return air grille) when the heater or air conditioner is running.
Cold air return vents are the ones on the wall
A cold air return is similar to a return air grille, which is needed for air to travel to the furnace to be filtered, heated OR cooled and then recirculated.
Why not, it can pull warm air into the room.
YES! If you do not have a cold air return on your furnace, you will have much higher heating bills as you will not be circulating the cold air from your home back to the furmace to be heated again.
depends on room size
Purchase return air filter grilles with washable filters.
You will need to consult an air conditioning contractor.