what do I need to do to get out of this "SERP lock"?
Without looking at the site and the keywords involved, we can only offer generic advice.
I would suggest examining all aspects of your onpage factors. Some specifics are:
-
page title: focus a single keyword
-
header: focus the same keyword
-
content: the first sentence of your content should also focus the same keyword
-
site internal linking: when appropriate, other pages of your site should provide links in content to other relevant pages.
-
url: clean, friendly, static urls which offer appropriate use of keywords is helpful
Wikipedia is a great example for many of the above steps.
There are other items to check. My point is link building and site promotion is an ongoing process which happens over months and years. On page changes have the ability to instantly and dramatically change your ranking. There is a good chance you are stuck due to onpage factors.