First, of course, confirm that your burner is a BluRay burner and simply a DVD burner/BluRay player.
What version of Premier Elements are you using? (also on PC or MAC)?
When using PE 13.1 on PC/WIN7 I could burn DVDs OK but when trying to burn to a BLU-RAY I got "No media present".
The alternative to create an ISO image from PE 13.1 and then burn that to BLU-RAY media eg via ImgBurn fails
as its a "feature" of PE 13.1 that BLU-RAY ISOs > 1 GB (& that isn't much) are not useable.
Fast forward: I changed to PE 14 (14.1) and I can create BLU-RAYs by both methods (direct burning & via intermediate ISO file).
Maybe this helps you.
That's interesting. Although it doesn't help me much since I don't know which version of Premiere Elements you were using previously.
But at least you know that upgrading to 14.1 is a solution.