Hi!
I have this same problem, but with vector images.
I open up a new project (in publisher), then place a image (no matter if .png, .jpg, .pdf, .svg) and okay, it looks fine. When I zoom it in, lines are sharp and everything, but then when I switch to photo, image turns blurry.
And now I've tried to export this cover photo for facebook page in .png and it's (drumroll..) blurry. Even though it was sharp in publisher and designer.
There might be some obvious settings that should have changed, and I might have two or more different problems here, but some help would be really great!
I did a quick export from the project. If you zoom it the way it would appear in Facebook on your computer, you'll see that it's way too blurry for publishing