Except in the first one, I think, which could, given the context. "Because my baby-sitter is my daughter, I can often not pay her." That means I can get away with not doing it, not that I often do pay her.
I am stuck there too. I often cannot open this web site... I often can not get this stupid thing to work. I can not often deal with the dingbats that call my work (that is a BAD sentence). I cannot often make time to do X with my stupid schedule.... that's how I read this...
no subject
no subject
no subject
no subject
that's how I read this...