Started then shut off, checked starter(good)new.

First check the connections on the battery and on the under-hood fuse box. Next, use a digital voltmeter or a test light to measure the battery voltage, then move the tester probes down the cables to the next points and measure the voltage. You're looking for the first point where voltage is missing. That will be the bad connection that must be cleaned and tightened. Don't overlook the smaller black negative battery wire that bolts to the body.