What mounting options does the Morex 557 support?

The Morex 557 supports VESA mounting (100 x 100mm) and includes wall-mounting brackets, as well as rubber feet for tabletop use.

What are the dimensions of the Morex 557 Universal Mini-ITX Case?

The dimensions of the Morex 557 Universal Mini-ITX Case are 7.7' x 7.5' x 2.6'.

No, there are no expansion ports for installing a gpu.

You'd have to use a PicoPSU. Try googling picoPSU-150-XT.

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Morex 557 Universal Mini-ITX Case, Fan-less, Compact (Case only)