Whitmor Zippered Jumbo Underbed Bags Java Set of 2 Pieces

The pockets look mesh...are they?

What is the gauge/thickness of the metal hooks? I need to know if they will fit in the very tight tolerances in my doorway while closed.

Will this fit women's 2 1/2 inch heels?

I wear a men's size 13 EE shoe, will it hold this size?