I found only control for displaying one link. And when it is displaying it is empty, although the cursor looks like there is indeed the link underneath.
It turns surprisingly simple. There can be used "grid" with row of several mail-urlfields. To do the link not empty the code
gMessageListeners.push({
onEndHeaders: function ()
{
var elem3 = window.document.getElementById("my_header_value_Label3");
elem3.headerValue= my_url;
}
should be used.