date has 8 distinct synonyms spread across 5 of its 12 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a participant in a date
“his date never stopped talking”
a meeting arranged in advance
“she asked how to avoid kissing at the end of a date”
the particular day, month, or year (usually according to the Gregorian calendar) that an event occurred
“he tried to memorizes all the dates for his history class”
a particular day specified as the time something happens
“the date of the election is set by law”
sweet edible fruit of the date palm with a single long woody seed
go on a date with
“Tonight she is dating a former high school sweetheart”
assign a date to; determine the (probable) date of
“Scientists often cannot date precisely archeological or prehistorical findings”
Synonyms, antonyms and the broader and narrower relations for date come from Princeton University’s WordNet. Full sources and licences.