First - simply deleting the default Samsung Email icon and then dragging the GMail icon from the Apps to the home page on phone did NOT make Gmail my default email - when I go into phone settings, email, it still shows the default Samsung icon and options, not GMails.
Regarding another issue raised in this string:
I'm having a similar problem regarding the default email app on Samsung Note 2 showing wrong # UNREAD messages:
Background: The email icon shows #unread emails - good, I like this.
Problem: If I use a DIFFERENT email client, say GMail, on phone or on laptop, when I read the email using a non-Samsung email app, the Samsung email client does not that I have already read them with a different client, they are still shown (and counted) as UNREAD, even tho I have read them with a different client.
This USED to work - eg:
1) Samsung email client shows 5 unread emails in counter on icon on phone.
2) Use a DIFFERENT email client, say Gmail, and read 3 messages. Gmail now, shows 2 UNREAD messages.
3) Return to Samsung Note 2 phone, and the default email Icon STILL shows 5 UNREAD email messages.
The ONLY way to get the UNREAD count down on the default Samsung email icon is to re-read them using the default Samsung Email app.
I dont recall the android update that broke this, but it USED to work - reading emails with GMail was detected by the default Samsung email client and it USED to show only 2 remaining UNREAD messages - today it shows 5.