How and why does Shakespeare criticize those in positions of power or authority, as seen in Twelfth Night?

Literary critics have pointed out that Shakespeare wrote
during a time of important sociopolitical changes
considering that there was a switch from a patriarchal monarchy to a
matriarchal monarchy. Shakespeare wrote for Queen
Elizabeth's court and a significant social concern of the time was
whether or not a woman was capable of handling the throne. Literary critic
Jane Dall points out that many of Shakespeare's plays and
themes "reflect political gender anxieties" ( href="http://history.hanover.edu/hhr/00/hhr00_2.html">"The Stage and the
State"). In particular, Dall asserts that both Hamlet and
Macbeth have women in power taking a significant
fall while men in the plays regain power, showing that Shakespeare
questioned a woman's ability to be in power and intimating his hope for a "return of
state stability" through the reestablishment of a patriarchal
monarchy ("The Stage"). Hence, we can claim that one reason
why Shakespeare appears to criticize authority
figures in his plays is because he is questioning the
strength of his own monarchical government, wishing instead to
return to a patriarchal monarchy.

We can
see Shakespeare questioning women's ability to maintain power in Twelfth
Night when he has Olivia marry by the end of the
play. When we first meet Olivia, she has recently lost both her father and brother,
leaving her to manage her family's estate all on her own. It can be said that one reason
why she has rejected Duke Orsino's proposal is because she wants to
maintain total control of her estate, thereby ensuring that the estate is
not compromised. However, she is unable to keep maintaining control as she soon finds
herself falling in love with one who is actually a perfect reflection of herself--a
woman alone with an estate she needs to protect who also feels the need for disguise.
Regardless, Shakespeare has nature correct this course by having Olivia mistake
Sebastian for Cesario and marry Sebastian instead.
Sebastian comments on the fact that nature led Olivia to a union with Sebastian, rather
than Viola pretending to be Cesario, in his lines:

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So comes it, lady, you have been
mistook:
But nature to her bias drew in that.
You would have been
contracted to a maid.
(V.i.268-71)

But now that she
is married to Sebastian, she is no longer in control of her
own estate, which also reestablishes the patriarchal
control within her household and seems to be what Shakespeare wants for
his own government.

What's also interesting to note is that
Duke Orsino, Illyria's true ruler, while portrayed as a
noble leader, is also characterized as a bit fanciful and
foolish, which can be interpreted as Shakespeare's means of
criticizing Orsino. But, Shakespeare also creates balance
by uniting him with the wiser Viola. Perhaps portraying Duke Orsino as fanciful and
foolish is Shakespeare's way of showing that even a patriarchal government
can be insufficient and any form of government must be balanced to create
a balanced society. Having both masculine and feminine counterparts in a leadership
union would create that balance.