You appear to have two distinct problems (at least in the attached error log).

The first one seems to be it can't find org.jbars.Barcode

If you'd imported this into your system (database), then you should be able to find it with:- 

select * from pr_engineclasses where pzclass like 'Barcode%'

Otherwise you may want to check in your previous tomcat installation to see whether this included any additional .jar file that contained this class.

I'm not too clear on the other error.

For a library normally I'd expect the java/class to be named as <rulesetname>_<libraryname>.java

All in lower case and converting any dashes to underscores.

But I can't ascertain which is which from the compilation error: -

5. ERROR in com/pegarules/generated/test_cmfw_cmfw.java (at line 459) 
	int RequiredCAL_Num = Integer.parseInt(com.pegarules.generated.cmfw_cmfw.stripAlphabeticChars(RequiredCAL)); 
	^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ 
com.pegarules.generated.cmfw_cmfw cannot be resolved to a type 

One part appears to this the class is test_cmfw_cmfw and the other just cmfw_cmfw

How are you recompiling the library (directly? SMA?)

Also are you using the same PegaTemp directory? And if so, did you remove the extractmarker along with the system change?