I took a look at the links you posted. I'm not sure of what your business is, so I can't comment on relevance.
Some of these links hopefully popped up naturally, though if you had a previous SEO firm doing work, some of them might have come via that channel.
http://www.mobileresources.net/mobi/Night_Shark_Fishing_Florida/ is definitely a directory.
I used the Moz bar to show me it has a Page Authority of 1, and a domain authority of 25, so I would email the webmaster and ask them to "nofollow" the link or remove it, if not relevant to your business. Because of the low ranking, if it were my website, I wouldn't worry about it hurting my rankings by having it removed/nofollow.
On http://drama.academia.edu/LelaRanson I would leave this one. It has high DA value of 85 and at least on the surface looks like good content.
http://jeremyrymill.tumblr.com/post/93825362281/the-canaveral-circus
I personally wouldn't worry about stuff on Tumblr, as many social networks automatically nofollow all tags. Here you can see some of the links on the page are nofollow.
The post <a <span="" class="html-attribute-name">rel</a><a <span="" class="html-attribute-name">="nofollow" href="</a>http://ift.tt/1v4ezED">The Canaveral Circus appeared first on <a <span="" class="html-attribute-name">rel</a><a <span="" class="html-attribute-name">="nofollow" href="</a>http://ift.tt/1oFpDCf">Florida Fishing Stories.
Since you don't have a penalty, I honestly wouldn't spend lots of time getting rid of bad links as long as you believe no one on your end sought them out to begin with, like a former SEO. Focus more on continuing to build relevant links and content locally people want to link to. Easier said than done I know. But theoretically if Google hasn't taken a manual action of any sort out on your website, your issue lies with competitors simply optimizing more effectively, not "bad links."