Only first property is shown cart of Dawn theme

If this is the exact code you have on your page then this happens because you’re missing a closing quotation mark on second and third textareas.

This is how browser sees their names:

<textarea required class="required" id="name" name=__"*properties[Name]*"__ form="product-form-{{ section.id }}"></textarea>
<textarea required class="required" id="ort" name=__"*properties[Ort] form=*"__product-form-{{ section.id }}"></textarea>
<textarea required class="required" id="land" name=__"*properties[Land] form=*"__product-form-{{ section.id }}"></textarea>

They are not even part of the same product form because of this.