The one in your 1st Post looks like a match for the one in "S video TV.jpg".
The 3rd image, "S Video PC.jpg" is like the one on the back of my HP Laptop.
Is all your equipment UK? OR is the laptop US?
S-video plugs are not my field of expertise, but since your Vid Card and TV appear to match, getting a 'matched ends' cable should not be a problem.
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