I mean, I suppose it is pretty reasonable that he RP'ed it as a suicide. He's standing on the edge, gave no reason for being there. He could have very easily said, "I'm fixing the AC", "This is my property", etc. But the way it went down, this was perfectly OK.So as long as it's a realistic request in roleplay (i.e. get off the roof of the bank, get off that person's vehicle), you can arrest for it, that being on the basis they refuse to cooperate?
If he had some legitimate reason he was trying to convince the cop with and the cop was still being a bother, then I wouldn't be so accepting of it.
To answer your examples directly, yes. As long as the RP is legitimate, cops can ask people to do those things. Now if the person owns the property then, use your better judgement. Just don't be that guy that ruins everyone elses fun.