After I got the dead key piece and money but still. I went over to the lady in the living room but there is no opinion or a key to click to give it to her. I discard the money and key on the floor but didn’t work too.

You require 3 key pieces

Thanks! But is there anyway to make the escaping easier? Will collect more dead keys help me to escape the control suit easier?

You need three dead key pieces to form a Single full Deadkey and then you can unlock the control suit.