From your owners manual:
3.3/3.8 Liter Engine Oil Use API Certified SAE 5W-20 engine oil. Refer to your oil filler cap for correct
SAE grade, meeting DaimlerChrysler Material Standard MS-6395.
Engine Oil Selection
For best performance and maximum protection under all
types of operating conditions, the manufacturer only
recommends engine oils that are API certified and meet
the requirements of DaimlerChrysler Material Standard
MS-6395.
Engine Oil Viscosity (SAE Grade) — 3.3/3.8 Liter
Engines
SAE 5W-20 engine oil is recommended for all operating
temperatures. This engine oil improves low temperature
starting and vehicle fuel economy. Refer to your engine
oil filler cap for the recommended engine oil viscosity for
your vehicle.
For information on engine oil filler cap location, refer to
the Engine Compartment illustration in this section.
Lubricants which do not have both, the engine oil certification
mark and the correct SAE viscosity grade number
should not be used.
Synthetic Engine Oils
There are a number of engine oils being promoted as
either synthetic or semi-synthetic. If you chose to use
such a product, use only those oils that meet the American
Petroleum Institute (API) and have the correct SAE
viscosity grade. Follow the maintenance schedule that
describes your driving type.
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With this info we can now debate what oil to use.