I have several gmail accounts setup in mozilla thunderbird. For some reason, all the accounts deliver to the same account group
"Archive" and I can not change this. When I compose and send a new email, the email is delivered correctly, but a copy is not stored in my sent items folder in thunderbird. If I log into gmail, a copy is stored in the sent items folder. Also, if I send an email while logged into the webmail, the sent email is delivered to me in my inbox on thunderbird.
 
Here is what I want:
 
When I load up thunderbird I wand all my gmail emails to be delivered to my inbox. I want all my sent mails sent from the webmail to be delivered to my sent items box. When I send an item from within thunderbird, I want that item to be saved in my sent items box.
 
Is this possible?