Patching Convertible top?

I just bought the wife a 1968 Barracuda Convertible. The car is in really nice condition however the Top has about a 1" tear in one spot and a small pin hole in another. The top is otherwise excellent condition.

This is the first convertible I have ever owned and want to know what the best way to patch this would be? Iron on type patches or adhesive? Anyone done small patches like this before with any success?

Called a local well known trim shop and they said they do not patch tops at all and wanted $2,000+ top replace the top. Insane.