No. The play is called Taming the Shrew.
Shakespeare wrote The Taming of the Shrew for the same reason he wrote all of his plays--for money. That's how he earned his daily crust. There was already a similar play out there called The Taming of a Shrew, and Shakespeare used the idea for his own purposes.
Yes.
At a writing desk somewhere in London, where he was living at the time.
William Shakespeare did not write anything called Merlin the Magician
Shakespeare did not write a work called "The Banquet".
None of Shakespeare's works is called "Hamilton". There is no character by that name in any of them.
Yes, he certainly did.
No, an author called Jack London did.
William Shakespeare did indeed write a play called Julius Caesar.
Authorize means to approve or empower. Shakespeare did not approve or empower a play called Othello. He did, however, write a play called Othello.
William Shakespeare died in 1616. It is extremely unlikely that he will write any more plays.
no, but some of his plays have been sort of adapted into musicals, like West Side Story-->Romeo and Juliet, and Kiss Me Kate--->Taming of the Shrew, Hamlet--->The Lion King