"Eden McCain, boasts the superpower of suggestion, and is apparently able to make anyone do anything she says." This is from her interview with TV-Guide that came out before this episode, and after last weeks once they had already shown what she could do.
And yes she can control it. Whoever said it doesnt work with Claires dad, she isnt using it with him, she clearly is emotional about her powers and doesnt enjoy abusing it.
I have heard rumors of eventual Peter/Claire romance.. they did seem to sort of have that vibe tonight. And with time travel it could always be possible (they could skip a head several years at some point)
Overall I was dissapointed tonight, after the 3 billion commercials for it, it all seemed to come together sort of slopily, and I expected more.