Your Jeep turns over very slowly even with a new battery?

Check the starter. Worn bushings can cause the starter to turn slowly. Also, if the alternator isn't functioning properly the battery will never have a full charge. You need to have the charging system tested to see if it's charging the battery. Note that batteries do not create electrical energy, they just store it. If the alternator isn't creating electrical energy the battery has nothing to store and the low charge will cause the starter to turn slowly. That should give you two places to look to solve your problem. Good luck.