Whenever I deploy jetty application I hit this issue. Looks like some jar or class is broken.
For your 2 errors ..
javax.servlet.ServletException: jersey-serlvet
This means you have a typo in your WEB-INF/web.xml
As for this one ..
java.lang.ArrayIndexOutOfBoundsException: 6241
at org.objectweb.asm.ClassReader.(Unknown Source)
I've seen similar ones when using an old version of asm.jar with newer compiled Java bytecode.
Ensure that your asm.jar (or org.objectweb.asm.jar) is current.
There is a slightly less common issue where the class itself is bad. Sometimes seen with classes that are compiled in one JDK (such as IBM) and then run on another Java (like Sun/Oracle).
A real world example of this would be the icu4j-2.6.1.jar and its com/ibm/icu/impl/data/LocaleElements_zh__PINYIN.class jar entry.