*Moved to Help For New Tamagotchi Pet Owners*
Your tama should not die one pause. I had one of my tamagotchis on pause for approximately three months straight without a difficulty.
I found that I had a problem with getting my tamagotchi to evolve if I had it on pause through and past its bed time. I'm a shift worker and my other life acitivities mean that I am busy at night so my tama is usually pause at its bed time.
Pausing also seems to mess up timing a fair bit. Evolution for my V1 and V2 were very predictable until I started using pause. If you do have to use it then you will have to accept it may take longer for you tam to evolve.