91 Toyota Camry

91 toyota camry. The car just died last sunday night and we jusmped it and it would die again so we tested the battery and it was bad, therefore replaced it. When we started the car it ran for about five mins and died, and wouldn't start like it wasnt getting gas. Car after sitting would start for about ten mins and then die and wouldn't start again. I replaced the fuel pump and fuel filter. After doing so when car was running the "Charge" and "Lights" warning lights came on and now the car is dead on the side of the road again. I won't start like the battery is dead. I jumped it and it started and ran for about five mins and then died. Do you have any idea what could be the cause? I had the alternator replaced in May 2010.