1.6 watts will only use .0128 amps at 125 Volts DC. I can't remember the NEC saying anything about milliamp level circuits and I can't think of any reasonable size wire or circuit breaker that will not survive that load.
Section 430 of the NEC is a very long chapter. I found 2 places that say to use the locked rotor current for ampacity and several tables calling for a percentage based on use. Then there is table 430-152 about dc motors less than 50 hp:
non-time delay fuse = 150% of FLA
dual element fuse = 150% of FLA
instantaneous trip breaker = 250% of FLA
inverse time breaker = 150% of FLA
So much writing that you have to declare pretty much everything about what it is and how you're going to use it.