1) Amongst the Tefilos that are said in the morning before davening is "Shma Yisrael..." Baruch Sheim Kevod Malchuso...", "Atah Hu Ad Shelo Nivra HaOlam...Baruch Mekadesh Es Shimcha B’Rabim (or "HaMekadesh Sh’mo B’Rabim", according to the Nusach of the Gaon of Vilna)".
When saying the above "Shema Yisrael..." it is important to specifically have in mind that you do not want to satisfy your obligation of Krias Shema with this recital, as it is better to satisfy the obligation of Krias Shema during Shacharis, along with Birchas Krias Shema (Yotzer Ohr and Ahavas Olam (or Ahava Rabba, for Nusach Ashkenaz) as Chazal instituted.
However, if by waiting until during davening to say Shema, one will miss the proper time of reciting Krias Shema, then one should indeed have in mind to satisfy his obligation with the earlier recital, even though it is being said without the Birchas Krias Shma.
2) Chazal tell us that any person that delves into [the learning about] Karbanos (ritual sacrifices in the Bais HaMikdash) is considered as if that person actually brought that sacrifice. Therefore it is a good custom to recite [and understand the meaning of] the Parsha of Karbanos each morning before praying. It is also a good custom to recite the Parshiyos of the Kiyor (ritual water basin), Ketores (ritual incense) and Terumas HaDeshen(ritual Mizbayach ash shoveling) each day along with the Parsha of Karbanos. (The Sefarim bring in the name of the RiKanti (one of the Rishonim) that saying the above Parshiyos is a Segulah for a good memory.)
There is a dispute amongst the Poskim if one is required to stand when reciting the Karbanos. It is best to stand if possible. If one can’t stand for all of it, at least when saying the Parshas HaTamid he should stand (Rav Chaim Kanievsky in his Sefer Orchos Yosher page 102)
The Shulchan Aruch Harav quotes a Rabbeinu Yonah that women are obligated in saying Parshas HaTamid. Though most women today do not have the custom to say Karbanos or Parshas HaTamid, still a woman that knows that she is obligated in bringing a korban (if the Bais Hamikdash was standing, for instance a Korban Yoledes 41 days after giving birth to a son or 81 days after giving birth to a daughter, or if she did a sin by mistake, and thus would be obligated in bringing a Korban Chatas) she should read that Parsha in the Chumash to satisfy her obligation