Can you pause, alter camera angle, disable hud etc
Yeah. Exposure controls, focal length, etc...
Edit - sorry, was in a game and couldn't answer fully.
You go into Career - Replays to find them.
They stack up as unsaved, but you can choose to name and save them. Controls within the replay allow for hiding HUD partially or fully, changing replay speed from 0.10x to 4x, changing who you follow, changing cam (third person, gameplay, drone follow, drone attach, and drone free), and changing cam settings - Exposure (automatic or -8 to +8), Aperture (f/1.0 to f/22), Focal Length (8mm to 400mm) and auto focus on/off with focus distance down to 250 cm.
You can also change your drone flight speed from 0.005x to 4x.