I see my phone and I see what you have. I have none of this problems. I use Ilham solution of push notifications and b.+c+d.Further to my previous reply, the issue is not that I'm not receiving notifications for Gmail (they seem to work), but the problem is that they only show or arrive when I unlock the phone.
I feel like using macrodroid is a step too far in the "hacky" direction to be reliable. Is it the only option?
I have to say: this solution solves more then push notification. Frozen GFS? If it is so best solution, why is not frozen on all phones?