Factory spec is 37 psi for stock Rubicon wheels and tires. The valve stems are rubber just like in your picture. On your 2013, if these still have the TPMS in them, then all should be good.
I think the light is set to go of at 34 psi on a Rubicon. Depending on what pressure your tires are suppose to be from the factory, will depend on if the light will be on all the time or not.
Hope this help you.