Will my existing license work with the latest version of Deadline?

Deadline licensing only takes into account the first two parts of the version number. If your currently licensed for Deadline 10.0.X.X, you would need a new license for 10.1.X.X. However, upgrading from 10.1.2.2 to 10.1.3.6 you wouldn't need a new license. 

For more information, check Deadline Licensing.