Jackpot,
* JInstaller::install: The language file 'nl-NL.com_jdtestimonials.ini' could not be installed because the Administrator language package for 'nl-NL' has not been installed or does not exist.
These messages indicate you are not using the latest Joomla version. In the latest Joomla version these messages won't appear as they are only there to inform you what languages are not being installed.
I then go to the component menu, choose settings, and the menu items which are meant to be at the top, are not there.
Not sure what you mean here, but you need to go to Components -> JD Testimonials.
Would help if you post a screenshot.