This is fun...
for the first question:
1) most Ob-Gyns do have US in their office, but not the TV probe. But why does that matter? You can send the patient out for the study. You do not have to have a diagnosis "in the real world" when the patient walks out of the office. Some OBG may go ahead and do the biopsy but on tests the answer is almost always "do things the right way and in the right order" which is usually some imaging study first then biopsy. If the study shows large bulky mets everywhere, her treatment will be different than if only the uterus appears to be involved.
2) however, a TV US should be the first step, followed by biopsy. As noted but many of you, PV bleeding in a post-menopausal woman is endometrial CA until proven otherwise. The TV US can also give you information about spread outside of the uterus which would be important to know, although it won't change the fact that she needs a biopsy followed by staging with CT if positive.
second (GI Bleed).