star (n.) Look up star at Dictionary.com
Old English steorra, from Proto-Germanic *sterron, *sternon (cf. Old Saxon sterro, Old Norse stjarna, Old Frisian stera, Dutch ster, Old High German sterro, German Stern, Gothic stairno), from PIE *ster- (cf. Sanskrit star-, Hittite shittar, Greek aster, astron, Latin stella, Breton sterenn, Welsh seren "star").

Astrological sense of "influence of planets and zodiac on human affairs" is recorded from mid-13c.; star-crossed is from "Romeo and Juliet" (1592). Stars as a ranking of quality for hotels, restaurants, etc. are attested from 1886, originally in Baedecker guides. Brass star as a police badge is recorded from 1859 (New York City).
star (v.) Look up star at Dictionary.com
1824, "perform the lead part" (said of actors, singers, etc.), from star (n.). Sporting sense is from 1916. Related: Starred; starring.