> <link rel="shortcut icon"
> href="/wp-content/themes/alesca/favicon.ico"/>
> <link rel="stylesheet"
> href=http://alescavideo.com/wp-content/themes/alesca
> /style.css
> type="text/css" media="screen"/>
> <link rel="alternate" type="application/rss+xml"
> title="Wedding Video, Bar
> Mitzvah, Sweet 16 or any special occasion, Alesca
> Video Productions RSS Feed"
> href=http://alescavideo.com/feed/"/
> 
> how is it possible to place your name or domain
> instead of for example alescavideo.com 

Httrack does not replace the domain. It replaces the links to relative file
references:
link rel="stylesheet" href=../css/style.css ...

The exact form depends on options -> build -> local structure