As this is dual stack you will not be able to start the Java stack with just the database backup. You will need the file system backup as well especially the /usr/sap/SID which has the Java application data and the configuration files.
On Unix a simple file system restore of the SAP file systems will work without an installation of SAP and database software but on Windows I am not sure whether it helps as there are registry entries as well. In that case you are most likely going for a fresh installation.
Regards
RB