Hi there,
I wouldn't submit to Google at all. If you build positive backlinks (preferably with a decent PR) you should be indexed within a day or two.
When I launch my websites I don't bother submitting, I just post in forums, buy good directory links, exchange links with similar content holders, and Google indexes it perfectly

.
If you want to help Google simply add a sitemap to your website, and Google will crawl the rest of your website.
As for duplicate content, I simply have redirects on my other domains, e.g.
www.kjcorporate.org redirects to
www.kjcorporate.com . But Google takes longer to index the other websites...but with time, it all falls into place.
Don't worry about not appearing in Google straight away, concentrate on SEO and backlinks, and you should be a-OK.
Regards,
Kieran Taylor.