You can't use the Html Agility Pack to click to click a button, nor do you want to. The easiest way to achieve what you are tying to do is install a tool that will view HTTP post parameters. I use fiddler, and you can download it here: http://www.telerik.com/download/fiddler. When you click the "Search Futures" button, here is the POST data that is sent:
instrument_type=FUTSTK&post_flag=true&see_all=&sc_id=MPS&short_name=Adani+Ports&user_sel_price=&stock_code=MPS&sel_exp_date=2014-02-26
If you look closery you can see "Adani Ports" and "2014-02-26". Those are the values from the the Stock and Expiry Date drop downs. Modify those two values to whatever you want, then send an HTTP POST from your app containing that post data.