I don't think you need to worry about your 324 on the GRE.  Assuming your work experience is strong (which certainly sounds possible), and your academic background demonstrates some evidence of quantitative aptitude (to couple with that solid 3.67 GPA), you should be good to apply in the upcoming round for both of these programs.  

Keep in mind that the part-time programs typically post lower average test scores than their full-time counterparts.  Haas doesn't seem to publish an average GRE for part-time, but the median GMAT sits at 700, which is below their FT median GMAT (730), and the average GRE for FT is 323, which you are already above...and should certainly be higher than the average for PT.  With regards to UCLA, they also don't seem to share average GRE score in their class profile, but the average GMAT is 680, which likely means your 324 GRE will very much be in the ballpark of what you'd need.

In short, I'd apply and assume your GRE will be competitive.  Best of luck!