May the morning blessings be said after Shacharis?
If one davened Shacharis prior to reciting the morning blessings he is to recite all the morning blessings after davening. However there is an opinion which states that the blessing of Elokaiy Neshama should not be recited if one already Davened. Practically, one should initially suspect for this opinion and recite this blessing prior to Shacharis. [However in the event that one already Davened Shacharis he may nevertheless say the blessing, as rules the first opinion.].
Regarding saying the blessing of Al Netilas Yadayim after Shacharis see chapter 4 Halacha 2 in Q&A for a dispute in this matter!
Regarding reciting Birchas Hatorah after Davening-See Chapter 9 Halacha 12 that the blessing is not to be repeated if one recited the Shema immediately after Ahavas Olam.
One who Davened Shacharis prior to reciting the morning blessings may recite all the morning blessings after Davening, starting from Asher Yatzar until Hagomel Chassadim Tovim. It is disputed whether one may recite the blessing of Al Netilas Yadayim after Davening. Birchas Hatorah may not be recited after Davening if one recited the Shema immediately after Ahavas Olam.
 The Rebbe implies from here that even the blessing over washing is to be said. [Shaareiy Halacha Uminhag vol. 5 page 26. See Chapter 4 Halacha 2 in Q&A!] Seemingly however just like one must say, in order avoid contradiction, that the blessing over Torah is not included in the “all” mentioned above, so too there is room to say regarding the blessing over washing hands that it is not included. Vetzaruch Iyun. Although perhaps for this reason Admur wrote “all the morning blessings mentioned in chapter 46, thus excluding Birchas Hatorah which is mentioned only in chapter 47, and thus “all” is literal.]
 As it is included in the blessing of Mechaya Meisim which one recited within the prayer and one has hence already fulfilled his obligation. [ibid]
 So is implied from Admur ibid which only writes that one should initially suspect for their opinion, and so learns Ketzos Hashulchan 5/7.
Other Opinions: Some Poskim rule like the stringent opinion that one may not recite the blessing of Elokaiy Neshama after Davening. [Kitzur SH”A 7/6]