I received my LP statement last week. My TA and LR flight were posted as "Economy" instead of "Business." I called LP and they told me that they can add the bonuses immediately.
With regards to my uncredited flights (VX, CM, and 2 on VH), they said wait 4-6 weeks for the credit because they have to verify it with the individual airlines. Why? They have the original ticket and the original boarding passes.