Short answers, pulled from the story.
Julius Caesar claimed Venus as his personal divine ancestress, citing a long-standing tradition among the Julian clan. His heir Augustus inherited the claim, and the Emperor Hadrian later built the largest temple in ancient Rome to Venus and Roma Aeterna in 135 AD to extend the connection to the entire Roman state.
The first known temple to Venus was vowed by the consul Quintus Fabius Maximus Gurges during the Third Samnite War and dedicated in 295 BC near the Aventine Hill. It was dedicated to Venus Obsequens, her first attested Roman epithet, and was supposedly funded by fines collected from Roman women found guilty of adultery.
The name Venus derives from a Proto-Italic form meaning "desire," which itself traces to a Proto-Indo-European root also found in the Old Indic word vánas. The same root produced Latin words including venustus (charming), venerare (to worship), and venenum (poison), reflecting the ambivalent power associated with the goddess.
The Veneralia was held on April 1st in honour of Venus Verticordia, the "Changer of Hearts." During the festival, the goddess's statue was carried to the men's baths, undressed, washed in warm water by her female attendants, and garlanded with myrtle. Both women and men participated, asking Venus for help in matters of love, sex, betrothal, and marriage.
Botticelli's painting of around 1485 draws on the epithet Venus Anadyomene, "Venus rising from the sea," which in turn derived from a celebrated ancient painting by the Greek artist Apelles showing the birth of Aphrodite from sea-foam. Roman mythology held that Venus emerged fully adult from the foam produced by the severed genitals of the sky god Caelus-Uranus.
Myrtle was Venus's most important sacred plant, worn as crowns by her statues and worshippers at festivals. It was used in bridal bouquets because Venus presided over prenuptial rites, though it was excluded from bridal crowns since marriage itself fell under Juno's authority. Myrtle was also thought to be a potent aphrodisiac, and its connection to the earlier goddess Cloacina eventually led to the fusion of the two deities as Venus Cloacina.