I have a 2002 s10 that won't start. I had work done to repair an oil leak, drove it home, and it died. Thought it was maybe the battery, which had, in fact failed. I replaced the battery, and it ran for about a day and a half (less than 10 miles driven), but now it won't start again. It unlocked with the remote, made a quick chime, and then went silent. It makes no noise whatsoever when the key is turned, and no lights come on at all. Any suggestions are appreciated.
It sounds as though your new battery is also flat which, in my mind, points to a fault with the alternator. Try charging the battery or jump starting the vehicle, if this works then have the output of the alternator tested.