I use a Avermedia AverTV Hybrid Express Slim TV card in my laptop as screen for my Amiga 1200 when I go to the Commodore GG meeting in Maarssen.
The picture is always blurry when using composite or RF.
What you could do is buying an Indivision A1200 from Amigakit, Red's store and Vesalia. This thing is a scandoubler and flickerfixer.
When you have this, you can connect the Amiga 1200 to your PC monitor.
The picture will be as good as your 1084S monitor.
Do not play games with your Easycap USB capture device, because the screen update is slow. It is better to use an Internal TV card in your PC, because it updates the sreen in realtime.