Sorry, yeah. I get unread counts on the dialer. I don't think I get them on Hangouts, but I did on the stock messaging app. The account I have setup in the stock email app doesn't get very many emails, so I'm not sure on that one, but I'd assume I get them there too.
I thought I did on gmail, but the address I sent my test emails to was my primary gmail account. It's the one I use all the time and give out to people who's emails I actually care about. Haha!
The other is my Outlook account, which I previously only used for my resume, but now I sign up for certain things where the emails aren't as important for me to get, which is silly, since I've got that account setup in my gmail app as well.
3 of the other 4 I have setup in there, I need to delete because I changed the host for my website, so I've got to setup new addresses with the new host and on my phone.