MPLAB X v5.35 requires Java 8 (not Java 11+). Download and install OpenJDK 8 or Oracle JDK 8. Set JAVA_HOME environment variable to point to the JDK 8 directory.
The file MPLABX-v5.35-windows-installer.exe sat safely in his Downloads folder. download mplab x ide v5.35
Since v5.35 is no longer the current version, it must be accessed through the official archives: MPLAB X v5