Setup Gmail IMAP 'deleted messages' and/or 'Inbox' link in Apple mail?

I've got gmail IMAP set up so that when I 'delete' a message it doesn't actually go to Gmail's bin, but rather to Apple mail's trash. If I want to permenantely delete something I simply drag it to Gmail's bin rather than pressing delete.

Anyhow, Gmail labels the messages I 'delete' as 'Deleted messages'. I would like to have those labelled messages (as they are called by gmail) to be shown as a folder in Apple Mail. However I cannot seem to get it to do this. I can go into Gmail and create a new label and instantly it appears in Apple mail, but the already existent 'deleted messages' label will not show in Apple mail even though it appears to be present in my Apple mail personal settings folder +(see image below)+.

*So how can I get Apple mail to show me that label/folder?* Also is there a way to get Apple mail to show me Gmail's 'Inbox'? From the image below it too seems to be in my Apple mail settings folder, but it's simply not showing.

Alternatively how could I set it so that messages labelled as 'deleted messages' by Gmail are also labelled something else automatically. My thinking here is they'd show up in the secondary label as a folder in Apple mail as I'm wanting.

Note: Contracts 2009 and 2010 do not show up in Apple mail on purpose as I've used Gmail's advanced IMAP settings to hide them in IMAP. *Again, I'd most like to see 'Deleted Messages' in Apple Mail, and possibly Inbox.*



Message was edited by: Nick A