to duplicate an object and its driver and relevant connections you need to duplicate special> and make sure duplicate input graph and assign unique names to child nodes is on. If you want to just duplicate the driver and not the driven but retain the sdk connections do the same but select duplicate input connections.

To edit set driven keys you can just use the sdk creation panel to set new keys or key over old ones or go in the hypergrah and select the anim curve node between the driver and the driven and edit it in the graph editor.