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NancyLebovitz comments on Navigating disagreement: How to keep your eye on the evidence - Less Wrong
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Re: Problem 2: Take an even probability distribution involving your feelings and your roommate’s feelings on housework (and on who’s emotionally biased). You have no reason to treat your and your roommate's feelings as asymmetrically indicative (unless unbiased indicators have told you that you're especially above- or below- average at this sort of thing). It’s like the thermometers, again.
Re: Problem 3: Keep your belief in atheism. Your evidence against a Christian god is way stronger than any evidence provided by your roommate's assertion. Despite the superficial symmetry with Problem 2, the prior against the complex hypothesis of a Christian god is many orders of magnitude stronger than the prior against you being wilfully mistaken about the housework -- and these orders of magnitude matter.
(Though note that this reasoning only works because such "extraordinary claims" are routinely made without extraordinary evidence; psychology and anthropology indicate that p( your roommate's assertion | no Christian god) is relatively large -- much larger than a simplicity prior would assign to p(Christian god), or p(flying spaghetti monster).
Problem 2: I'd work on finding out what criteria we were using. In general, I believe that I can tell when I'm going off balance. I'm not sure if I can test this, but I get the impression that most people have no clue at all about when they're going off balance. I will also note that even if I feel I'm going off balance, there may not be anything I can do about it in the short run.
Problem 3: I'm an agnostic, not an atheist. That being said, I would notice that the Christian is using a circular system of proof, and not agree with them.