Code used by you for the website field was

<div class="website">
  <img style="height:24px; width:24px; float:left;" src="../../../../../../images/icons/website.png" />
    <a target="_blank" rel="nofollow">
    <xsl:attribute name="href">
      <xsl:value-of select="entry/fields/field_website/data" />
    </xsl:attribute>
    <xsl:value-of select="entry/fields/field_website/data" />
  </a>
</div>

This results in being provided the url as being http://yoursite.com/the-entry-name, but what is wanted is http://the-entry-site.com

Error is the use of the data in the field which then uses the title provided or added or the URL after the local url, i.e. your url.

The fix (see the Changed Line)

<div class="website">
  <img style="height:24px; width:24px; float:left;" src="../../../../../../images/icons/website.png" />
    <a target="_blank" rel="nofollow">
      <xsl:attribute name="href">
        <xsl:value-of select="entry/fields/field_website/data/a/@href" />   (Changed Line)
      </xsl:attribute>
    <xsl:value-of select="entry/fields/field_website/data" />
  </a>
</div>

And it now works as it should being the url of http://the-entry-site.com with the correct title being what it has been entered to be.

Are you using the default template or a copy of the default template? Recommend you use a copy or duplicate of the default template and call it something else.

To add an image to the vcard check that the image field is set to display on the vcard or both, unless that is done it will not show on the card, also check it is published/enabled.
If you are inputting your own field names then the default template might conflict, the default template auto shows all fields that have been assigned to the vcard or both on the vcard display.

Adding the image to a vcard is simple, that code being;

For a single image in the vcard use the code

<xsl:copy-of select="fields/field_item_main_image/data" />

For a single image in the detail sview use the code

<xsl:copy-of select="entry/fields/field_item_main_image/data" />

Where field_item_main_image is the name of the image field you want displayed.

Get back to me if I have misunderstood your request with a little more info, if you need to paste code replace < with < and > with > for it to show up in the comments, wrap that in

. (you can do a search and replace within most txt editors, try notepad++)

name testname
url http://www.google.com

tha exit is testname

wich results in a link that leads me to http://mysitedomain/google

and I don´t understand why, because the default template shows it nice