Actually I don't see the reason for the new relay. All those connections and wire could introduce more resistance.
The current load draw is actually very low. 2 to 3 amperes for ignition coil and 1 to 3 amperes for the alternator field.
So maybe as much as 6 amps.
Only reason I can think of for the new relay was resistance in the key switch. But if so, then that should be fixed anyway.