One problem related to water pump has been reported for the 2013 Jeep Wrangler. The most recently reported issues are listed below.
2 issues with my 13 Wrangler unlimited 1st . . . Engine temp gets up to about 80 percent of the guage. I have had it in 3 times they replaced the water pump twice and still same issues. They have replace thermostat coolant flush ect. The dealer connot find out whats wrong. I have resorted to adding a secondary coolant fan and it helps a bit but its still a problem ive had since a year fater buying it. 2nd . . . The transmission(automatic) when going up any kind of incline it does not want to shift untill about 6k rpms. I have had it in for this also and dealer claims nothing they can find.