This:
RegisterWebAppVisitorWC | 175 - org.ops4j.pax.web.pax-web-extender-war - 1.0.12.1 | Registration exception. Skipping. java.lang.ClassNotFoundException: org.springframework.web.context.ContextLoaderListener not found by IGE_INTEGRATION [226] at org.apache.felix.framework.ModuleImpl.findClassOrResourceByDelegation(ModuleImpl.java:812)[org.apache.felix.framework-3.2.2.jar:] at org.apache.felix.framework.ModuleImpl.access$400(ModuleImpl.java:72)[org.apache.felix.framework-3.2.2.jar:] at
tells me that your missing some spring jars, how is your WAR built, as a std. WAR or as a WAB (War with OSGi Manifest). If it's the second do you have all required imports resolved? If it's the first do you have all required jars included in your war and at the right spot WEB-INF/lib. Does your WAR contain some "not allowed" jars in it like servlet.jar, etc...
EDIT: Ok, your war does contain all jars in the lib folder but you only define the WEB-INF/classes as part of your Bundle-ClassPath, that's what you're missing. You need to define the complete classpath including the jars in your lib folder. So your Bundle-ClassPath needs to look like:
Bundle-ClassPath: WEB-INF/classes, WEB-INF/lib/spring-core.jar, ...