Won't stay running even after I jump it plus drains the battery.

There may be vacuum leaks check for broken/loose hoses , carb may have sediments in it , you need a multi meter to see if the alt is charging and if the batt has proper voltage , mice can invade even a daily driver , chew on wires and create problems . It's all pretty basic on a 77

Make sure all the battery cable connections are clean and tight at the battery, starter solenoid, starter, and the alternator. Unless a new battery is defective it won't be dead that fast. Hope that helps! Jim