A quart a day does not sound like much, but that depends on the soil too. If the soil is well drained it is not much. Instead of watering on a schedule, you should also check the soil by poking your finger down into it to check if it is damp, dry or muddy. You should water as much as you need to get the soil deeply watered to a depth of four inches or more and not water again until the soil is almost dry. That way the plant roots will go deeper and be more tolerant of hot dry weather than roots that are shallow.
Tomatoes are heavy feeders. What are you fertilizing with and how often? Generally a nitrogen deficiency starts at the bottom but in the later stage the whole plant will look pale and stunted.
Happy gardening in Hawaii. Gardens are where people grow.