Bought a 2004 jeep grand cherokee with 109,000 miles on it. Everything worked and ran great on test drive. After driving it 3 times over a week the battery died. It was a newer battery and checked out fine. Put a new alternator in still would not always start. Put a new starter in ran for two day and now will not start again. Short somewhere? Where to start looking. Does have an aftermarket remote starter hooked up, have not used that yet.

First have the battery load checked while disconnected. With the battery disconnected attach a battery charger and see how much current is being drawn while the vehicle is off. Either the alternator, starter, starter solenoid, or remote starter are loading down the battery. Lastly, there could be a short somewhere else like an aftermarket radio or amplifier bypassing the ignition switch. Some older vehicle had rear window defrosters that kept running after the vehicle was shut off that would kill the battery. A bad door light switch could also kill the battery within a few days as well. Typical for starters and the solenoid or the alternator to go bad internally.