You cannot have multiple items in a dropdown list with the same value since setting the SelectedValue property will always reset the DDL to the first item with that value. It also causes problems with retaining the selection through postbacks which is what's happening here.
If you are not able to use a control other than a DropDownList, etc. for selection of the broker, you might try disabling v13wstat3 for the dropdown list then in Page_Load rebinding the list on every page load, then re-selecting the broker using the FindByText method of the DDL's Items collection. You will, of cource, need to maintain the previously selected broker's name through v13wstat3 or some other persistence mechanism.