Do I need a full range of international patents to cover my US patent?

Only if it is going to be sold overseas in great quantities.

It depends on where your potential licensees are located. If the potential licensees are in the U.S., U.S. patents may be sufficient. It is generally better to have multiple patents with different claims. It is not necessary to have foreign patents unless your primary potential licensees are located in other countries. Many patent owners are able to monetize their intellectual property only with U.S. patents. Sometimes it is necessary to sue to monetize patents and you should consider contingency fee enforcement. If you offer licenses, you may be reducing the potential damages that you could recover in a patent infringement lawsuit. You may also subject yourself to the risk of being sued for a declaratory judgment in an unfriendly jurisdiction. Hire competent counsel before considering licensing.