3GS has me stymied

I have a 3gs on 6:15. It is jailbroken on 6.1.3.

There is NO WAY I can get the slide to unlock or slide to shutdown operations to function. I have replaced the digitizer and looked to make sure all connectors were seated.

I cannot downgrade the baseband because I cannot slide to shut the phone off.

Because the sliders don't work I cant get to the springboard... I have installed Cydia. I can see it using disc doctor but just cant access it.

What am I missing, How can I get the touch to slide function to work ?

Any suggestions would be appreciated... by the way, the Apple serial number shows this phone has been "replaced" so, buyer beware... but the imei number shows it is not blocked. Carrier is unknown.

Thanks

Barry