You may be misunderstanding how to use the bank. To my understanding, for in game any item you get when your inventory is full goes to the item queue. Each time you join the server, the item queue system will attempt to give you your items from your queue if you have room in your inventory. So you would receive whatever items you can hold from the queue when your inventory has some free space the next time you join.
To free up space in your inventory you can either delete unnecessary items, or if registered for the bank, you can use the "Send to bank" option under the actions button in your inventory.
From your bank in the explorer on the website, you can view your bank if logged in. From your bank you can choose to filter, search, etc through your items. Additionally you can delete items in your bank as well as send them to your item queue to retrieve them in game. To do either of these actions you click on the items you want to select them. Afterwards you would click the button of the corresponding action you would like to do. The "Retrieve" button sends the items to the item queue, while the "Delete" button deletes the items.
http://moronyard.com/wiki/index.php?title=BankIf by chance you aren't registered for the bank, the wiki link above for the bank will both show you how to register for the bank, as well how to use it with pictures.