'play': probably play cards or a similar game; like hawking and hunting, seen here as vain aristocratic pursuits. Wroth's husband Robert Wroth was especially fond of hunting, a passion he shared with King James, and he had the position of Forester. But while this sonnet may well have an autobiographical cast, Mary Wroth took part in courtly pastimes herself, notably dancing in masques arranged by Queen Anne.
'do': written over top of 'did'.
'spirit': here meaning something like Soul, with a sense of the essence of oneself.
'is their' = 'choose as' in P.
'dear' = 'sweet' in P.