Are you trying to connect to an external web server? If not, you shouldn't need any connectors.
If you are running Tomcat as a standalone there is an optional set of libraries called the Apache Portable Runtime (APR) which are written in C. Tomcat uses JNI to connect to the APR. This is why I was asking about the DLL. If you're just trying to get Tomcat up and running for the first time, I would avoid using APR, at least until you've got it running as a pure Java app. If you don't have APR on your machine, disregard my earlier comments.
This: [2008-02-14 13:54:20] [986 prunsrv.c] [error] Failed creating java C:\java\jre1.5.0_12\bin\server\jvm.dll makes me think that there is a 32 bit DLL or EXE somewhere in the equation.