That's a bit of a can of worms, really. The whole idea of psychics is a hot button issue in the magic industry. I'll answer as best I can from my perspective -
1) Not generally. If anything they fall under the category of mentalism. Generally speaking those who do psychic readings are not associated with the magic industry, and indeed will actively avoid association with magicians if at all possible. There are a few mentalists who still claim real powers but they are few and far between, and you're probably not going to hear about them on TV or magic forums.
2) There's nothing wrong with paid psychic readings. Sometimes they're just good fun, sometimes they provide a valuable service to someone who's going through a tough time. The "problem" most often cited in the magic industry when it comes to psychic readings is, in fact, predatory behavior. By that I mean people who use psychic readings to scam people out of as much money as possible. But that's a person who's preying on vulnerable people, not a problem with psychic readings in general - if it weren't "psychic readings" that person would have some other way to take advantage of people.
3) The best I can answer to this is that I've never seen evidence that convinces me of a "supernatural" ability. I don't think that what some psychics claim is outside the realm of possibility, though. What seems more likely to me is that some day we will have studied these phenomena enough that will understand what is actually going on, and then it'll stop being called psychic and instead be called science.