Turn off 4G it does not work properly if you turn it off and just use 3G you will have no issues.
I tunred 4G off w aweek ago i now get full day of battery no issues with dropped or lost calls no SM S issue or emails issues
Apparently Samsung does not know how to fix the Issue look over at the S3 forum they have very similar 4G issues. with the galaxy s3.
S3 forum
https://community.verizonwireless.com/community/droid/samsung-galaxy-s-iii