Oil pressure should go up with engine load. It could go higher when cold when using a thicker oil. Depending on your climate you may want to stick with the 5w-30 as it is easier to move around the engine on start up. Here in WI I try to avoid 10w-30 as much as possible. If the readings are erradic and it happened right after an oil change I would check the wiring going to the oil pressure sensor. On the six cylinder the wiring harness for the sensor loops over or next to the oil filter. Easy way to check if there is a problem is have someone watch the guage while idling and jiggle the harness, if it the needle changes position or drops to zero than there is a problem.
I recommend you have the A/T fluid changed every 36,000 miles.
Perhaps worn engine bearings due to excessive mileage or lack of regular maintenance
The EPA mileage estimate for the 2014 Jeep Cherokee is 22 mpg in the city, 31 mpg on the highway.
The EPA mileage estimate for the 2001 Jeep Cherokee is 16 mpg in the city, 21 mpg on the highway.
Around 30-40 psi when at full operating temperature. Can even be somewhat lower on a high mileage engine.
The EPA mileage estimate for the 2012 Jeep Grand-Cherokee is 17 mpg in the city, 23 mpg on the highway.
The EPA mileage estimate for the 2010 Jeep Grand-Cherokee is 16 mpg in the city, 21 mpg on the highway.
The EPA mileage estimate for the 2004 Jeep Grand-Cherokee is 14 mpg in the city, 19 mpg on the highway.
The EPA mileage estimate for the 2014 Jeep Grand-Cherokee is 17 mpg in the city, 25 mpg on the highway.
The EPA mileage estimate for the 2001 Jeep Grand-Cherokee is 14 mpg in the city, 20 mpg on the highway.
The EPA mileage estimate for the 2006 Jeep Grand-Cherokee is 15 mpg in the city, 21 mpg on the highway.
The EPA mileage estimate for the 2013 Jeep Grand-Cherokee is 17 mpg in the city, 23 mpg on the highway.