Surprised tha you would have a bad relay AND bad horns but that's what it looks like. If your relay is clicking there is probably nothing wrong with the horn switch. Aside from horns not working it's also possible that the power supply from battery to relay is down. As suggested below, check if you have power at the horns when you push the button. If yes then the horns are at fault. If no, then the supply to the relay is probably your issue. Let us know.
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