No, you don't need any additional licenses. The jaxb license is covered by CDDL-1.1, which is the "Common Development and Distribution License" or GPL-2.0-CPE, which is the "Gnu Public License".
Steve Donie
Principal Software Engineer
Liquibase Community Engagement
Datical, Inc. http://www.datical.com/
Both of these are non-commercial licenses.
In previous versions of the Java Runtime, jaxb was included. It was removed from the JRE starting with Java 11.
Steve Donie
Principal Software Engineer
Liquibase Community Engagement
Datical, Inc. http://www.datical.com/