1.4A @ 115VAC puts it at somewhere around 1/10th HP. Most common relays are good for up to 1/2HP. A "motor starter" would be overkill for something this small.
Look at the motor nameplate (if you can), it should tell you if it is self-protected and if so, you do not need external OL protection. It may say "Thermally Protected", it might just have a "TP" on the nameplate, or it might say something like "impedance protected", meaning it is designed to avoid starting a fire even if the motor is stalled indefinitely. A number of small 115V metering pumps I have connected have been impedance protected.
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