I'm building backlinks like crazy to one certain page on my website, for 2 keywords. Since I'm spending so much time building links to this page should I also do a lot internal linking to this page using the keywords on my other pages?
You need to point anchor texted links for the keyword in question from at least 5 - 10 sub pages full of unique content directly to the page you are targetting. The content needs to totally relate to the landing page you are linking to, so stay on topic. That will make a big difference, just by doing that alone I saw a lift of one of my websites languishing on the 20th results page in Google up to the 2nd results page in one week, that's without doing any other SEO at all.