I doubt that the first one would be possible - conversion isn't a particularly easy process, and it seems to me it would be beyond the computing capability of a phone.
I don't think the second one would be possible either, because it's the device that decides where you leave off, not your library. If I open a book in Calibre on my PC, read a few pages, and then open it a bit later on the same PC, it doesn't open where I left off.
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