The California Bar is beginning to take a stronger stance on DUIs and attorneys. While it hasn't really begun affecting current attorneys, it is beginning to stand in the way of applicants passing the moral character review. I don't believe there is any hard-and-fast rule (published) on the matter. But they'll look at how many DUIs you have, how recent they were, how well you complied with various court orders, what other trouble you've been in, etc.
Just by way of example, I know one person who "failed" the moral character review because he got a DUI about 3 years prior. But another "passed" because his DUI was over 7 years.
BTW, California doesn't have a true expungment. What you're applying for is a PC1203.4 dismissal. The charges will still show up, but show as dismissed (as opposed to a true expungment, which effectively destroys or seals the record). And while the 1203.4 allows you to legally say you've never been convicted when asked by a private party/entity, you still MUST disclose it to governmental agencies (including the Bar), and it won't prevent them from seeing what you were originally sentenced to.
This is not about real estate law. If you had not closed on the sale of your home and turned over possession to the new buyer, taking your stuff is "theft" and is a criminal act. Whether or not that was done by the real estate agent and can be proven is a different story.
Again, if you had not closed, the house is still yours so why would anyone have access and why would that person "throw away" your stuff. If the agent made that statement, it would seem to me that he or she is suggesting that someone had access to your house and only a licensed real estate agent or people that they had authorized would have access to the lock box. In fact, the new electronic lock boxes have a chip that records any agent's entry to the home.
If the missing stuff is valuable, and was not going to be thrown out anyway, then I would speak to the agent's broker and if you do not get satisfaction, I would consider filing a complaint with the Board of Realtors and/or the South Carolina Real Estate Commission. But before you take any action, be certain of the facts.
If those items were left in the house after closing, or after you tendered possession to the purchaser, that is another story. Then it is reasonable that someone assumed that they were abandoned and the buyer or the buyer's agents,cleaning crew or anyone else may well have thrown them out.