short of re-entering the tracking code, there's not much you can do to gain confidence in the data.
and i can believe that your bounce is low. the site is easy to look at.
getting direct traffic is a lot harder to have control over - that falls into the world of branding - which takes a lot of resources, and ingenuity.
your stats are actually pretty strong.
obviously working on se traffic would also entail partly working on referral traffic too.
good luck
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