This is a common problem encountered by new or relaunched websites: how can you infer any larger trends from traffic numbers that can be counted on two hands? You've put your content out there, and done your best with the SEO; now you have to sit back and be patient as potential clients find their way to your site. You website may weeks or months to climb back up the Google rankings, so be patient.
As a rule, you don't want to make too many changes to your site, too quickly, based on limited data. If you've done due diligence while building your site, adhering to all the best-practices SEO guidelines and writing clear and comprehensible copy, then you need to sit back for a few weeks and see what happens—after all, you don't want to fix something that isn't broken!
Your best strategy is to create new content and distribute that content on your social media sites. You can learn a lot about your audience by the articles they are clicking on from Facebook. Using that data, you can predict what content your target audience is most likely to respond to.
This is also a good time to work on your website's organization. Build a structure for your website, and work on your internal link structure as well. Create categories and tags that group your content together, and revisit some old content and find out how it can be improved. This is something that is easier to do when a website is young, so seize the opportunity!
Do some keyword research and learn what you can about search trends around your particular practice area. Focus on long-tail search phrases as well as short-tail keywords. View the content that your competitors are creating and write something that is better, longer, and more comprehensive.
If you do the work while your website is young, it will help your website "boom" later. Remember, SEO is a long-term strategy, and nothing ever happens overnight. Put in the ground work now, and watch your website trends, and you can reap the benefits later.