Engine light on with P2096 code

SOURCE: 2001 Jeep Cherokee Sport - check engine

warped heads will cause this...if it over heated badly thats going to be the problem

SOURCE: Rough idle until warm

HMM, ya ont get a code unless ya figure out how to read the morse code values the OB1's use. Hmm sputters, and rough idle can be from poor air circulation, as well fuel delivery.

first air.......inspect and clean your vacuum hoses, cracks and leaks will most notably ruin your day. as well as the performance of your ride. check the seal for your intake hose around the throttle body, then clean the ports in and around your throttle body as well. Bad air supply, poor idle.. follow me..


second is fuel delivery. Your getting your gas, thats evident, but are you getting the required amount. hard to guage unless you disconnect a line and test its pressure. so lets USE the KISS method.. KEEPING IT SIMPLE STUPID

first, check and or replace your fuel pressure regulator...

second, inspect condition of your fuel filter.

thrid, and certianly the last thing, your fuel pump. go in that order. or your gonna seriously annoy yourself when a 5 dollar fix turns into a 3-400 dollar fix.

SOURCE: 1998 jeep cherokee can smell exhaust when idled

check the exhaust manifold.It is prone to cracking at the expansion joints.Causing you to smell exhaust and confusing the upstream o2 sensor

SOURCE: 2002 Jeep Liberty P0174 code and mech has changed the o2 sensor

Can't tell you exactly what is wrong but the one thing you said is of concern...Map sensor should not be full of oil. If it is, I'd want to know why. In finding the reason for that, you may also find the reason why you are having a problem.
Jeep uses two kinds of engine crank venting. you either have a pcv valve or an orifice controlled system. If either are obstructed it can overpressure the crankcase and cause all kinds of problems.
Years of experience tells me this isn't something I can guess at and be 100% sure I have the right answer but based on what you said, I'd look there first!

SOURCE: I have a 97 wrangler

Something odd about what you posted. An engine that is running lean shouldn't be using a lot of fuel. Lean is when there isn't enough fuel going into the engine. Two other sensors that regulate fuel flow are the map sensor and throttle position sensor. Temp sensor generally would cause a rich condition but I'd test that too. Be sure to check for vacuum leaks at the manifold and lines as well as fittings... A vacuum leak will give the O2 sensor a lean reading...seeing that, the computer will try to compensate by adding fuel. Clearing codes can change the way it's running but as soon as the computer runs through it's internal diagnostics it will turn the light back on if there is a problem.