I almost never use repeat and usually "shuffle" by using the quick shuffle playlist feature so when I first stated using MMA I had no idea where those buttons were. But yea, toy have to tap on the artwork portion of the screen to show/hide them.

Repeat can be enabled on the Now Playing screen. You may need to tap the Artwork to reveal the Repeat and Shuffle button.

On adroid phone, at video playback, if repeat is enabled switching to music playback will also repeat current song. There is no option, menu item or idication that repeat is enabled and it can only be disabled at video playback screen.