I think you should be alright proceeding straight into Part II. The two sections aren't exactly directly connected - Part I covers the technologies that are included in J2EE and Part II is a practical design project. While it helps, certainly, to be familiar with all of the technologies you studied for Part I, you can utilize any full-release version of J2EE for designing the solution, and hence, you might choose instead to use more up-to-date technologies rather than those covered by the earlier multiple-choice exam.
Theodore Jonathan Casser
SCJP/SCSNI/SCBCD/SCWCD/SCDJWS/SCMAD/SCEA/MCTS/MCPD... and so many more letters than you can shake a stick at!