Absolutely will not work.. For a couple of different reasons.

The item for sale uses the PAL format for displaying TV. Jamaica broadcasts are NTSC format.

Also this device hooks to a computer monitor VGA port. Laptops normally only have a VGA output port, but not an input port.

I would look at a USB external tuner like the ones made by Hauppauge. They are cheap and easy to use wit h a laptop.