Hi Sayaf,
To programmatically open the front panel of another VI that contains a graph, you will need to create a reference to the VI containing the graph and use an invoke node to open that front panel. Use Open VI Reference from the application control palette and wire that reference to the invoke node found on the same palette. Choose the Open FP option and wire a boolean control into activate. When this button is clicked, it will open the front panel of the VI you reference. If you want that VI to run once it is opened, there is a choice for Run VI in the invoke node.
Now, to display different plots on the graph of that VI, you will need to create a property node for that particular graph by right clicking on graph icon and going to create->property node. You will need to use the Active Plot property to choose the plot you would like to display, and Plot -> Visible to make the plots visible. You can write click on the property to change it to write and wire in a boolean control to determine if the plot is shown or not.
Hope this helps!
Laura