lot has 36 distinct synonyms spread across 6 of its 9 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 parcel of land having fixed boundaries
“he bought a lot on the lake”
your overall circumstances or condition in life (including everything that happens to you)
“whatever my fortune may be”
(Old Testament) nephew of Abraham; God destroyed Sodom and Gomorrah but chose to spare Lot and his family who were told to flee without looking back at the destruction
divide into lots, as of land, for example
administer or bestow, as in small portions
“administer critical remarks to everyone present”
Synonyms, antonyms and the broader and narrower relations for lot come from Princeton University’s WordNet. Full sources and licences.