> Can it download only the specific part of the page?> For instance only the
<http://localhost/mypage/> 
> WITHOUT downloading <http://localhost/mypage2>, which 
is 
> linked on the mypage and without banners.

If course - this is the most basic feature ou can 
expect :)

Use filters, like in:
-*
This will tell the engine "do not grab anything"

Or
-localhost/mypage2*

Will ONLY forbide mypage2 file/folder at localhost

See the FAQ/documentation for more information on 
filters (you can do advances things like -* 
+www.foo.com/*.html -*.foobar*.html +*.gif +*.jpg -
*sea*.jpg +www.some.web/~smith/*.*)