A rate is a ratio of two quantities: miles per hour, calories per cookie, dollars per person, ... a unit rate just specifies the units (miles, hours) of the two quantities.
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A banana is a very good example of a nonexample. It has nothing whatsoever to do with rates, and so nothing to do with unit rates.
cross multiplying unit rates horizontal
780 miles in 3 days = 260 miles per day.
It is 56 per day.
Yes, but it is customary to express it as 2 seconds per foot. The denominator - or second measure - usually takes the value 1 in a unit rate.