Most each country has its on Google, should I add my web to each Google separately ?

for example google co.uk, google. de, google. au?

 

No. They use the same basic google database. Each site does get categorized per country though, based on the language of the site, the country the host is in, the domain name and links to the site. So if your site is not ranking well in a certain country, try getting links from sites that have that country domain.