Iphone 5: Signal drops, apps crashing, call drops and poor battery life.

Previously owned iPhone 3gs, iPhone 4 and iPad. Now with this iPhone 5 it seems nothing is going for it. I get apps crashing at seemingly random times, poor battery life, my signal drops into "no service" or "searching" which is only fixed by turning airplane mode on and off again. This obviously causes the call drops too which is annoying after paying such a high price for a phone. Are these problems common and being looked at or is it just a few people experiencing them?

Thanks.