A few different people responded to my issue about my email not "pushing" properly- and a few others have listed the issue as well. I am using only an outlook.com account and it happens. Sometimes it pushes just fine. Other times it is delayed. As I was reading the forums tonight, I went to check settings (to answer the question of was I connected EAS or to outlook) and it said, under my Microsoft account, "Account not up to date." When I clicked on it, it told me that it was outdated by over an hour and had last tried to connect to update 18 minutes earlier. I tapped "sync" in my email and immediately the notification went away. I don't know if it is the wifi dropping its signal at times when the phone is locked or what. And I can't remember who asked, but I checked and battery saver mode is turned off. At this point I have had the phone a week and I love it. I could probably even live with this issue. But if it is a hardware problem then I should get it taken care of while there is still time (if there is still time).
Also, someone else (I think) in this thread who is having a similar issue commented on going to their "wifi" option under settings and it goes through the "finding wifi" and then shows connected. Is this normal? This happens to me some of the time. Some times I tap wifi and it just shows connected. Other times it searches for a few seconds then says connected. Is that what it does for people whose email is being pushed normally without problem? Or could that be a sign that it is, at least at times, losing connection to the wifi while the screen is off, which then would be causing the failure of push notifications at times?