I assume you mean Shaw offers to sell you your current Moto 3416 rental? If that's the case, I'm interested in a similar deal for my Pace box as it seems like I am the only Pace user who has no problem with blank 1-min recordings and I've already got tons of recordings with this box that I want to keep. Yes, you should be able to play all your recordings made with that box from that box as long as you stay with Shaw.
Regarding box freeze, all the currently available boxes freeze at times. We will see if the new Moto coming out will do the same. My bet is it will.
Regarding 1080p, I don't think any network broadcast will go 1080p any time soon. That said, it's not impossible for cable movie channels/VOD to go 1080p24. I used to have Comcast in the US and before they cleared the "free" bit in their movie channel VOD streams, I managed to capture terabytes of movies from HBO/Showtime/Starz/Cinemax, etc. where many of those movie streams were 24fps. Theoretically, a new box can be programmed to output 1080p24. Other than that I don't think you'll see 1080p60 broadcast any time soon.