Is the reflexive pronoun in subject of a sentence unless it is used as an intensifier accompanied by another noun or pronoun?

In the above, the sense conveyed might be: I’m not sending someone else to the movie , I’m doing it personally!

When Lucy & I meet the main character in the movie “Everyday

  Life", we are watching them watch the real movie. What should we choose? Lucy and I.  

What is the importance of research and education when it comes to gender equality?