I've had all these issues (phone running hot, up to 106/107; apps not downloading/uploading or taking forever to do so; sms not sending).
I wiped system cache which has seemed to fix app updates/downloads, though they still do so slowly. SMS was working for me after the update, but I decided to switch from hangouts to the messaging app. When I did this it broke messaging. I tried clearing the defaults, switching defaults when the apps asked me if I wanted to. Finally after switching a few times via the Settings menu (Settings>Wireless and networking>More>Default SMS app) that seems to have fixed it to where messages will send, though it still takes awhile to do so (like a minute or 2)
The biggest problem is the battery burning between 22 and 36% an hour. And keeping fairly hot.