Lollipop has effectively made my Nexus 5 worthless. Battery barely lasts a day now and the phone is still continuously plagued by disconnecting from the network

Lollipop has effectively made my Nexus 5 worthless. Battery barely lasts a day now and the phone is still continuously plagued by disconnecting from the network at seemingly random times. I've owned every generation Nexus and the 5 went from being the best phone they've ever made to the worst phone I've ever owned in one fell swoop. :( Ordered a Moto this time around to see if I can have better luck there.