no one can give the exact time or date. but the best thing you can do is to participate on high traffic forum and put your link on your signature for fast index.

Results after searching:With a search engine like google or yahoo they have hundreds of servers with hundreds of spiders (a spider is a program on the search engine that goes threw every forum / webpage is can get its grubby hands on). Due to the size of yahoo and google etc it only takes a few seconds like 0.12 or so.

It's impossible to estimate. Do you have one computers or 2 to do the work? And from here the times get bigger or no.

I think you should submit your site to Google and then use a proper SEO strategy to get fast indexing.

Here is a thing of luck after all. Things like external links how much content you have etc also count at some point, i think!

may be one month and also it depends on the how much u do seo for your site.