I can'f find an actual confirmation on the site but I'm presuming that if I book my hotel through FHR program that I'll still get the 5x points (even though it's technically not "amex travel").

Also - do room charges during the stay count towards the 5x? For instance in Vegas I generally just use the card but it occurs to me (just now, derp) that if I'm staying at an MGM property and dine at an MGM restaurant that I should just apply it to the room bill and pick up the points?