it takes a 15v negative tip supply, and is very sensitive to undervoltage conditions. And the battery pack is almost certainly shot now and not doing anything.
Can you verify your external power brick is putting out at least 15v and the polarity is correct? If not you may have blown the PCB fuse inside the power supply. The 1400LT PSU's seem to be prone to capacitor issues, mine kept shorting or blowing them until I more or less replaced all of them, and each time one failed it blew the PCB fuse.
If you look at page 195 (7-20) of the service manual you'll see a 2A fuse marked F500. If you're looking at the PSU PCB it's somewhere towards the bottom left, or at least it is on mine (there are at least 2 revisions of the main and power PCB's for the 1400LT.)
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