Question: Can a woman put on Tefillin, as did Michal bat Shaul (Eruvin 96a. See Tosafot, Rosh Hashanah 33a d.h. Ha Rebbe)?
Answer: You are not Michal bat Shaul. In any event, it is written in the Shulchan Aruch (Orach Chaim 38:1) that if a woman puts on Tefillin, we should protest. Furthermore, Michal bat Shaul put on Tefillin in private and not in public in a protesting manner. Besides all of this, there is a problem of "Lo Tilbash" - the prohibition of cross-dressing (Targum Yonatan on Devarim 22:5). Before we add to our Mitzvot, we must fulfill the obligations we already have. See Mesilat Yesharim (see also an interesting comment by the Kaf Ha-Chaim [ibid. #9], that based on the Kabbalah, there is no proof from Michal bat Shaul, since she had a male soul!).
Q: I heard that Rashi's daughters put on Tefillin?
A: We have not seen a reliable source for this fact. Nonetheless, there is a long way to go before we reach their level.