> problems you should say. However, when I disconnect
> from the internet server, and I open de copied site
> again uisng HTTRACK, the view is totally different

That's because you didn't get all the files. Some css/js were on other
servers, thus offline the formatting changes.

Use the near flag (get non-html files related) to get all files necessary.
Use no external pages so you know where the mirror ends.

Always post the command line used (log file line two)