So what do you think is a good time to actually share your feelings with a girl? (I mean, I agree that two months is a short period to be an "open book," but when do you think you'd be ready to trust her (and yourself) enough to share more?)
I can't give you a set time period. I mean for me and my girlfriend it is just like I seem to tell her more and more each day but for other more reserved guys it could take weeks to come out with something new. It really depends on how much something thinks they can rely on the other person not only to keep the secret but to not judge and to be supportive. I find it easier everyday to open up to her and especially when we can spend alone. Just give the guy time and he will talk when he is ready.
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If she accepts everything from you over time, but you think she's critical about other (specific) things, does that put you off?
It depends completely on how she criticizes. If she's tactful and works hard to do minimal damage, no that doesn't put me off but if she just barges ahead trampling on my feelings, she's not for me.