Questions about the chat plugin

I have most of chat set up; however, I have a few questions.

1. I am finding that even though I have the date/time feature enabled the dates and times on chats are not showing in the messages.

2. Is there a way to rename the private chat so it does not just show (P) as the title. I know how to do this for the regular chat box just not the private chats.

3. Is there a way to set it up with membership2 so that only certain membership levels can talk . For instance Memership A can only talk with Membership A and Membership B can't chat at all?