Short answers, pulled from the story.
Historians remain divided on whether the Jutish homeland was the Jutland Peninsula or if they migrated from northern Francia or Frisia. One hypothesis suggests they originated from the Jutland Peninsula before migrating to the Frisian coast following a Danish invasion around AD 200.
The Jutes moved to settle southern Britain in the later fifth century during the Migration Period. Archaeological evidence indicates that peoples of west Kent were culturally distinct from those in the east of Kent by the mid-fifth century to the late sixth century.
King Cædwalla conquered the land of the South Saxons in the 680s and took over Jutish areas in Hampshire and the Isle of Wight. He killed Aruald, the king of the Isle of Wight, and hunted down Aruald's two younger brothers who were found at Stoneham, Hampshire.
Pope Gregory I sent Augustine to Kent on a mission to convert the Anglo-Saxans in 597, introducing simplified Christian burial aligned East to West. In contrast to Kent, the Isle of Wight was the last area of Anglo-Saxon England to be evangelised in 686 when Cædwalla invaded the island killing local king Arwald and his brothers.
Based on Bede's description, Kentish was spoken in what are now modern-day counties of Kent, Surrey, southern Hampshire, and the Isle of Wight. Linguist Elmar Seebold argued that the relatively sharp linguistic boundary between Frisian and Dutch is attributable to migrants from Jutland.