How to setup name & e-mail to be required?

The name and email fields are already required. You can use this filter to make additional fields required: https://easydigitaldownloads.com/docs/edd_purchase_form_required_fields/

If you need the physical address, I’d recommend you look at our Simple Shipping extension: https://easydigitaldownloads.com/extensions/simple-shipping/

I use edd on another website and there it works like it should, but in this website I am having problems.

I recorded a screencast and sent you in a PM to see what happens.

edit: cant find the PM option so here is the screencast https://www.screenr.com/ALCH

Ah, I see. You’re using the Buy Now button. The code reference I gave you only works with Add to Cart buttons.

It is not possible to set that up with PayPal.