This will be a partial answer, for now, until I can address all the various parts of the prayer that your question implies.
First of all, I am citing (with some editing) from this M.Y. answer:
The mishna in Megillah 23b e gives these examples of things that
require a minyan meaning at least 10 males >= age 13:
Having a chazzan (this includes kaddish, barchu, prisah al hashema and chazarat hashatz)
Reading the Torah portion
Reading the Haftorah
Having the Kohanim bless the people
The term "reading of the Torah" is defined by Rash"i on that Talmud page as בצבור - meaning the requirement to read the Torah when there is a congregation. Thus, if one is not part of a congregation, one is not performing this function. Thus, a Bar Mitzvah boy as well as those doing Shna'im Mikra Echad targum as examples, may do this without a minyan b/c it doesn't fall under that requirement / definition at all. Logically, I assume that the requirement for Haftarah meets the same definition, thus one may practice the haftara.
This question addresses whether one may say Kaddish without a minyan.