Check to see if the accounts in question are set to push, if not then check the interval times for refreshing the mailbox.
An also if you look over the headers of your email, it might give insight into why your emails are delayed.
Re: Note 3 Case Thread.
I like the first one. You ever see the Samsung flip cases? Not sure when they are being released in stores, but they also look nice.
Sent from my SM-N900V using Tapatalk