97 I-30 won't start after replacing alternator

[slccpa]

About 2 weeks ago, the alternator in my I-30 died on me. Replaced it with a rebuilt alternator and recharged the battery. Since then, I've only been able to get the car to start maybe twice, and both times for only for a minute before it died out (possibly flooded). I finally ran the battery down again trying to start it. So I fully charged the battery again. But since then, the starter will not even engage. All I hear when I turn the key over to start it is one click, and the fuel pump come on. I took the starter out, had it tested, and it checked out fine. I have tested the battery and it has appx. 13V. All electrical inside the car appears to be working properly, lights, stereo, security system, etc. Any suggestions on what to check next will be greatly appreciated!

[Johnnyru]

Check the Starter Solenoid