That's a big list. The Jacobean Era is associated with the years that coincide with the reign of James I (1603-1625). Jacobean literature is the successor to Elizabethan literature. Knowing that, places Shakespeare smack inside Jacobean literature. Thematically, Jacobean literature is darker in mood than Elizabethan literature. So, with Shakespeare, many of his tragedies are written during this period. Othello, King Lear, Antony and Cleopatra, and Macbeth all show up early in the Jacobean era.
John Webster also wrote during this literary era. Two of his most renowned plays are The White Devil and The Duchess of Malfi.
As for Jacobean poets, the metaphysical poet John Donne is your best bet. Some of his poems include "No Man is an Island" and "Death Be Not Proud."