Since your website is new. You should consider promoting your website rather than engaging. Start social media promotion, build quality backlinks, share your content on web 2.0 sites. Write press release.
So you should start creating content and build some backlinks.
Well, because you are a newbie on this one I would say first of all try learning what actually engagement in context with a website is ?? Over here what it means is building your website in such a way that what users comming down to your website wouldn't press the close button ! Say I have site which is made for fun and user came down and didn't find any fun over their I don't think they will bother waiting over your site, so what matters is the weight or I could say in fun category the content you have or the games or anything you have which keeps the interest of the user comming down over to your website! So here I would say before moving forward in working with the optimization thing make sure that you have put everything required for a site to function correctly at the proper place!
There are some methods in building the backlinks. The folling measures will help to increase the traffic to your website:-
* Google Profiles
* Blog Commenting
* Article Marketing
* Social Media Sites
* Directory Submission
* Video marketing