Are you attempting to convince him just of the sensibleness of cryopreservation, or of the whole "package" of transhumanist beliefs? I'm asking because 3-4-5 are phrased as if you were advocating mind uploading rather than cryonics.
Also, 3-4 and 5 are directly contradictory. 5 says "if you believe in the existence of replicas, why would you still care about your life?", while 3-4 say "the existence of replicas doesn't make you care any less about your own life". While it doesn't sound like a productive line of inquiry, the opposition is so blatant and direct that I'd be strongly tempted to point it out.
1 reveals a possibly deeper disagreement, and is somewhat more linked to your reply:why should he care what the universe does or does not care for? Could you possibly convince your father to accept egoism?
(Aside: are you Mowshowitz, by any chance?)
Yes.
Terminal values and preferences are not rational or irrational. They simply are your preferences. I want a pizza. If I get a pizza, that won't make me consent to get shot. I still want a pizza. There are a virtually infinite number of me that DO have a pizza. I still want a pizza. The pizza from a certain point of view won't exist, and neither will I, by the time I get to eat some of it. I still want a pizza, damn it.
Of course, if you think all of that is irrational, then by all means don't order the pizza. More for me."