Brand new Ender 3 does not extrude any filament during printing
I am a fairly new user of an Ender 3 and had similar issues on a couple of occasions.

The main reason was as @0scar suggested - the nozzle was too close to the build plate preventing the filament from exiting - and the back-pressure was causing the filament to jump back, giving the extruder a "shudder" as it slips on the filament. Lower your build plate as suggested by @0scar. The paper should only just drag.

The fact that filament oozes after the hot end/print heads moves to home suggests you don't have a blockage... but you will if you don't adjust this.

It is better to have the nozzle slightly too high, so the first level does not stick and gradually raise the bed up while you are running the test patterns. Only turn the adjustment knob about 1/8 of a turn before checking - you are dealing in tenths of a millimeter here. Also remember that changing the front setting is going to change the back settings too because the plate will tilt.