The namplate current is used to size the overload protection. You would have to use NEC Table 430.250 to determine the actual full load current. This value according to the information that you have given for a 3 phase 3 HP 480 volt motor is 4.8 Amps.
Starters have a horsepower rating which would have to correspond with the motor hp. You must find a starter that matches the horse power rating for your motor otherwise use the FLC values as determined from the NEC.
Eric Kench, P.E.