The process is frustrating, isn't it?
"Resubmitted and again was shown a handful of links by the Google admin person and told to contact and remove. The funny thing is that a few of them I disavowed in my list so they should not have pointed these out."
This brings up two points for me:
-If a few of these were on your disavow list, this means that some of them were not. Google is showing you some links that needed to be addressed that are not. I am seeing quite often lately that site owners are saying, "I removed xx% of links and still failed." It is not the percentage that matters. Google wants to see that you have attempted removal for each type of link that they deem unnatural. "Unnatural" really means self made. So, let's say you had a link profile containing a bunch of blog comment spam and also a little bit of article spam. Let's say you removed almost all of the blog comment spam which accounted for 80% of your links but you didn't touch the article links. Even though you got 80% removed, Google wants to see that you have tried to get the article links taken down.
I've done a lot of consultation for site owners who have failed at reconsideration and by far the most common reason is that not enough kinds of links were deemed necessary to be removed.
-Next, it is not enough to just disavow. You've got to show that you've really tried to get the links removed. What I do is contact the webmaster via any available contact info I can find on the site, the whois contact and also contact forms. I show evidence by including a copy of the text of each email sent and screenshots of each contact form. Some may say that this is overkill. Perhaps this degree of work does not need to be done, but in my opinion it shows that I have REALLY tried to get links removed.
I hope that helps. The process is so darn time consuming.