Time has changed. Submission to search engines are no longer necessary as you can be easily get your domain index using blog.
The challenge will be getting your site to be listed in Top 10 or Top 20 for traffic. So, for
SEO, everyone is cracking their brains to move up the ladder. If you have some good long tail keywords, then likely you will be able to move to the top. But if those are 'hot' keywords then it will be a challenge.
Bottom line, search engine submission is no longer a need in my personal opinion.