No indeed, to be your own grandparent by blood would require time travel and your genetic information would never have originated anywhere, making you a closed circle in time.
Not necessarily. (Now, I had a longer reply typed out last night, but then had to leave. Shortening it.)
If you're your own mother, then the (roughly) 50% of your genes that you provide to yourself (as a mother) could be the 50% of your genes that came to the zygote you from the father.
Besides which, insofar as information, closed timelike curves are inherently reliant upon information from the future looping back and being part of the past (effects being precursors to causes), in a self-consistent "You go back and do what you've already been back and done" sort of way. (At least in my world-view of the what a Timve Travel-enabled universe would be, forget all the 'fading Marty McFly' nonsense.)
Even if it
were the same genetic information (if you were your own father, then this would normally be necessary, due to needing a Y-chromosome[1], or at least some equivalent) then it won't be the same molecules and atoms, and the 'only' problem is that a self-consistent time-loop would have to contain the information capable of supporting the time-loop, but then that's the nature of a 'tapestry of time' with cyclic threads.
(Like I said, I had a longer reply, last night. Could elabrote, probably best if I don't unless invited.
[1] Though with your genetic makeup being totally 1st generation other-parent and 2nd generation other-parent, there's nothing to say that you won't have one of the normally undiscovered intersex-style make-ups, perhaps the mother was XXY or something, or you're XX-but-male because of what is essentially in-breeding, and that sort of thing happens a lot, just is usually not detected unless physical signs warrant investigation. Not to mention that a significant proportion of women are apparently genetically chimeric.