WordPress Blog within static site

So as I'm reading more and more into this IM malarkey it seems apparent that we need to be constantly adding content to update our websites to make Google love them.

I have set up, or am in the process of making a static site on my niche with around 4 pages each targeting certain keywords, all interlinked within the niche.

I'm thinking that a way to add content would be to have a blog page. Is this a good idea to put a wordpress blog on mywebsite. com/blog?

The thing is, writing a blog is all well and good and it means more content to the site, but then where do I write articles for back links? Unless I do like 1 article to go elsewhere online for every 3 I put onto my blog, something like that will generate content within my site, and articles to external sites with backlinks to my pages. Also how effective are internal links within my blog posts pointing to my static pages?

Some people might say I should have created the whole site out of WordPress but I wasn't intending on updating it constantly and I'm just as efficient setting up static HTML sites.

Well any pointers here would be handy.

Thanks guys.