incorrect HTML rendering in weblink.module

First of all, thanks for this module. It is very helpful!
I have some relatively minor problems with the validation of the html generated by the weblink.module.

The weblink.module outputs incorrect html when displaying a single-level links hierarchy on the main directory page.
in particular it outputs a <p> tag at the beginning of each link node teaser, enclosing the node <div> tags; also the <p> tag is not closed.
Beside the fact that nesting divisions inside paragraphs is not valid (x)html, I don't see the necessity for this. In fact, when changing line 314 from:
$node_html .= '<p>' . drupal_render($element);
to
$node_html .= drupal_render($element);
the page renders correctly.
Is this tag needed when rendering multi-level category hierarchies or anything else? if not, is it possible to remove it?

In addition, an empty unordered list is also appended to each category title in the table at the top:
<ul class="links_weblink_category_children"></ul>
I think this should contain the subcategories, but when there are no subcategories, an empty <ul></ul> desn't validate. Is it possible to add a conditional statement to function theme_links_weblink_category_children{} on line 249, to include the <ul class="links_weblink_category_children"></ul> only if subcategories are actually present?

Thank you!