Shakespeare loved to poke fun at the Petrarch and the upper class. We can see this, especially in "Much Ado About Nothing". In this particular play he makes fun of rich people getting in arguments and chaos over simple misunderstandings. We can see it again in "As You Like It" because Shakespeare forces his audience to ask themselves "but why?". They have to question their way of doing things. He is constantly causing people to question their roles in society and why things are the way they are.
In the sonnets, we can see that he was unconventional in his love. He writes some to the dark lady and others to a young boy. He rubs it in the face of the higher class that he doesn't have to do things their way. He isn't going to submit to a church run by the royal families because he doesn't care what the royal families have to say.