2005 Dodge Durango 3.9 V6 FWD.
Back in December went on vacation. After a week in Below 0 temps we got home and I tried to go to work and it made the dead battery noise. My brother tried to jump it for me and 2 times it ran for 5 seconds and shut off. The 3rd time after we let it set on the cables for a few it was silent I could only hear a click from what I awesome was from the relay. I have replaced the battery and put a new starter on it. Any ideas as to what could be wrong with it? I have around $500 so far in it.