If that is the culprit is it easy to replace the Timing Belt Tensioner on the J-Series?
The T-Belt job is definitely due if its running the OG Setup.
It is done every 7 years or 105K which ever comes first
(Remember than a 2011 model was sold in 2010 so its now 7 years old).
The 105K requires:
Timing Belt Tensioner Pulley
Timing Belt Idler Pulley
Timing Belt Hydraulic Tensioner
Timing Belt Jobs are easily the hardest DIYs you can do, Not only in the tools needed but also in the important task of not screwing it up... If you screw up a T-Belt job is 100% Engine Destruction.
If you are a casual DIYer I strongly advise you to pay someone to do this job... Preferably someone who will give you warranty on the labor.
T-Belt inspection wont work as this sound is caused by the Hydraulic Tensioner (IF IT IS)..
The T-Belt inspection only requires to remove the inspection cover which is the one on the front head so you can look how the Belt itself is doing seeking for obvious cracks and wear.
In order to diagnose the Hydro Tensioner you must use a service stethoscope directly on top of the tensioner. IN ANY CASE... You should not replace the tensioner only, That car is due for the entire 105k.