You'd need to use the {JLinkedApply .... } button with the appropriate tags. If you are able to edit the template for your component and use PHP, you should be able to pull the exact details about the job position from the output of that component to make the Apply button unique to each page. A full syntax example for the Apply button tag is:
{JLinkedApply companyid=365848 email=jlinkeddemo@ sourcecoast.com jobtitle=Tester joblocation=Austin,TX logo=http://www.sourcecoast.com/images/stories/extensions/jfbconnect/home_jfbconn.jpg themecolor=#5573b7 phone=false}
For more information on each setting, check out our configuration guide:
JLinked / LinkedIn Easy Tag Configuration Guide
I'd expect on you'd hardcode things like companyid, email to send the resume to, and perhaps logo. The rest of the information (title, location) can hopefully be dynamically added to each tag. If you need help with the PHP, just let us know. However, there's only so much we'll be able to do as I don't know that extension at all.
Hope that helps!
Alex