tefilla - Why are some bakashot made on Shabbat?

As I understand it, we don't make prayers of request (bakashot) on Shabbat (cf Rambam Shabbat 30:12). For that reason, we omit so many liturgical requests because of shabbos - e.g., Avinu Malkeinu, tachanun, the 13 attributes, singing during birkat kohanim, most of the amidah.

If that's so, then why are we allowed to make requests during the Torah service - e.g., mishebeirach, birkat hachodesh, yekum purkan, Kel malei rachamim, prayer for the country, prayer for Israel?