please i need your knowledge!! just bought a rwd 87 corolla lovely and clean driving it the other nite stopped for some grub left da radio on car wouldnt start thought it was da battery cause she pushed started driving away she started back firing like mad den i turned off da lights an it went grand an eventually da car came to a stop

all da dash lights are gone but work wen da car is running!! i got told it could be the altinator so i changed that but that had noting to do with!!! any ideas?????? please i only drove it for 2days