I had to uninstall Lookout and delete my Lookout account via their website. I downloaded and installed Lookout through Google Play and it's working now. I did end up with a free two week trial of the premium version again. I hadn't wanted to delete my account, but it wouldn't let me have what it perceived as more than one device. I just used the same e-mail and password to create another account.
I'll give the sleep of death thing a try shortly.