Hi,

Thanks, glad you like our theme

The shop feature needs use the Woocommerce plugin (https://www.woothemes.com/woocommerce/ ), it is a powerful online shop plugin.

– different categories each one with different products.

Did you mean: page A show category A, page B show categoryB … ?
Yes, it can

we rent material, so, we need a calendar option on each product, where the user can choose the days/weeks (and the price is not the same all year, example: from January to March, is 50€ per day, from July to September, 80€).

I am not sure if it can add date/calendar selector

– Some check buttons to choose different material characteristics, for example: color, size, number of people.

Yes, it can, it is not button, it is selector. https://docs.woothemes.com/document/variable-product/

Cheers!
Bwsm – uiueux.com