While Margaret Tudor and Charles Brandon are arguing at their estate, the type of cup Margaret is drinking from changes from a plain cup to an ornate goblet and back to a plain cup between shots.
Henry VIII's illegitimate son, Henry Fitzroy is shown dying of the sweating sickness as a small child. In reality, Fitzroy lived long enough to marry the daughter of Thomas Howard, 3rd Duke of Norfolk (making him a first cousin, by marriage, to both Anne Boleyn and Catherine Howard, Henry VIII's second and fifth wives.) He died in 1536 at age 17, having outlived Anne Boleyn by two months.
Margaret and Charles go back to England from Portugal very soon after her husband. Because she had consummated the marriage she would have more than likely asked to stay to see if she was pregnant with the kings child and not allowed to leave.
Henry Fitzroy, the illegitimate son of King Henry and Elizabeth Blount, is shown dying of the sweating sickness as a small child. In real life, Henry Fitzroy married Mary Howard (a Boleyn cousin) at age 15 and died in 1536 at age 17.
Henry offers to make Anne Boleyn his "maîtresse-en-titre" or official mistress. However this title was not used until the reign Henry IV of France which began in 1594.