I've got a rather general but extremely important question. I'll built a primary website as well as an eshop for any client. The primary website come in Wordpress and I must look for a platform for that eshop, but allows the eshop is another Wordpress-theme.

Can One install during my hosting server 2 wordpress sites? to say....for instance the first is going to be www.company.com/website and also the other www.company.com/shop or something like that such as this.

Just install one wordpress application inside your root directory and make another directory and do the installation there, tthere shouldn't be problem.