getting java.lang.IllegalStateException: Profile not locked due to exception in eclipse while trying to open Install new software

Start by checking you error log under Window -> Show View -> Error Log

It's clear to demonstrate the issue by the exception.

You need check whether your account that is running Eclipse has permission to create lock file(C:\WORK\GALILEO\eclipse_STT - Offline\p2\org.eclipse.equinox.p2.engine\profileRegistry\epp.package.rcp.profile.lock). Or manually remove it if it already exists.