As low as 0.5 atmospheres, the boiling point of water is still above 80 degrees C. So yes, equatorial temperatures in the 70s Fahrenheit (20s Celsius) are fine, as far as keeping the oceans from boiling.
But, as mentioned in the comments, some amount of water will evaporate at any temperature. That's what humidity is! And if you want to keep your oceans from evaporating into space, you need to worry about the temperature profile at altitude. Earth does not have sufficiently high escape velocity to retain water vapor, and certainly not hydrogen--but it has a mid-altitude cold trap which prevents the vast majority of water from rising to heights where it can be photodissociated or directly lost. As a result, Earth still constantly loses some water to space, because some water vapor can always wander up to the top of the atmosphere--but only about a millimeter of ocean per million years.
Having lower gravity actually kind of helps, because it increases the scale height of the your atmosphere--as long as you have a cold trap at all, it will be a physically larger region, which will be more effective at condensing all possible water vapor--and you'll have more atmosphere above it.
Having a lower starting pressure does hurt you, insofar as there is less "room" for air to decrease in density with altitude, and thus undergo adiabatic cooling as it rises. Earth's atmosphere hits about 0.5 vars of pressure at around 5.4km altitude, with an average temperature around -10C, while the coldest temperatures (about -60C, where the vapor pressure of water is only a few pascals) occur at about 14km. If you just took Earth and its atmosphere and cut out the bottom half bar, you'd be asking for a much stronger adiabatic lapse rate to go from 20-ish C down to -60C in a mere 8.6km rather than 14km, but that's where the larger scale height comes in. With a deeper atmosphere to work with, you're probably OK. But, well... predicting the exact structure of atmospheres is hard! You'd need to do some significant computational modeling to be 100% absolutely sure that your oceans won't evaporate too fast.
So, 0.5 atmospheres is probably fine. 0.7 would be safer. But either way, it will depend on the detailed atmospheric structure.