Re: Like I said I can push on action button and is working but icons are just not showing. So it is a guest what to push.
Ummm, this sounds bizarre.
You talking about status bar notifications here, correct?
Re: Bluemail or typemail shows every incoming message separately and works a charm with my notifications app notify
Separate notification per message?
This was only just now added to Android N, and Aqua already supports it but..
..with earlier Android versions, you'll be getting a notification about "3 messages" or "4 messages" etc, and the action buttons will be there as long as it's 5 or fewer (so they all fit, and you can see what you're deleting).
Since you mention this "notification app notify" -- and it's possible that TypeMail and this app work together, to provide per-message notifications, let's separate things a little:
Status bar notifications (not lock screen notifications, and not notifications in this "notification app notify") are what's primary, can you check what you get from AquaMail (and if you get "action button but icons are just not showing", I'd like a screenshot) and also what you get from TypeMail, again, in the status bar.