TV Repair Questions? Ask a TV Technician for Answers ASAP
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Sorry to hear you're having trouble.
The likely issue here is that as this is a smaller/older set, it is a relatively low resolution model, far below what the computer would normally output.
if you hook the computer back up to a normal computer monitor, then go into the resolution settings (right click on desktop, then Screen Resolution), then set the hdmi/2nd monitor output to 1024x768, that should provide a signal that the sony is capable of accepting.
If you can't get it via hdmi, you can try the vga connection as well (though that won't provide any audio)