I have experienced similar issues with email sync and push. Sometimes my emails push to my phone instantly, sometimes they are lagged, and sometimes it seems like they don't come in at all unless I do a manual refresh.
As a note, try uninstalling your task manager/killer if you have one installed, I believe that if you are killing certain services (related to email), then this may be disrupting your email sync/push. Plus I am hearing that you don't need one with android devices. I had ATK installed and uninstalled it recently.
As a note, try uninstalling your task manager/killer if you have one installed, I believe that if you are killing certain services (related to email), then this may be disrupting your email sync/push. Plus I am hearing that you don't need one with android devices. I had ATK installed and uninstalled it recently.