95 Chevy Lumina won't start

I have had trouble starting my 95 lumina for monthes. It takes me over

10 tries to get it started, especially on a cold day. If I turn it off and immediately turn it back on, it starts easily. Anyway, I just keep it running like this for about half a year until today.

Here is what happened:

I started the car this morning to let it warm up before I drive it to work. After about 15 minutes when I came out ready to head for work, the car already shut itself down. Radio and all other lights on the dashboard were on though.

Then, I started it again, but it shut down itself again after about 5 seconds.

When I tried to started it one more time, you know what, everything is dead this time, all lights and radio except the dome light when I keep the door open.

I tried to jump it from my Camry with cable. It starts nicely with all the lights and radio on, but as soon as I pull the jump cable off, everything turns off again. Again, only the dome light on. I thought it would help to keep the lumina connected to the good battery on the Camry for a while just to charge the battery. Saddly, after 10 minitues of "charging" it still shuts everything down immediately after I pull off the jump cable.

you think I got a bad battery or what? Even worse now is I'll have to get it towed to replace battery or starter or alternater.

Thanks in advance for your help.