Is it possible to have too many one way links from ...

Yes it is possible to have many links but the links should be various sources.

Use community websites

Generally websites/directories do not link to the same site more than once. However, It is possible to get one way links from a single website if it is social networking site / community website. But it is not beneficial as Google will take it just one vote in favor of your site no matter how many one way links you have from there.

Either you should submitting the site in variety of directories and in the relevant categories only for sure. You can start with this list of 17000 web directories

May be it is of help to you !!!

Yes it is possible but be sure that all of your one way links are good quality links.

Yes its possible to have so many links it is one of the SEO strategies.To make your site more popular you must have more links as possible but make sure that you don't post same link on same site.Because this will be consider spam and some sites don't allow this.For more SEO tips just visit Helpful guy on the net.