This behavior--one PC connects just fine while another compatible PC doesn't--would suggest you have some kind of software on your PC preventing it from connecting. This could be a firewall or an antivirus program or something else like that. So I suggest you temporarily turn them off, if you do have them running.
I have a model UN60ES6100FXZA SmartTV with Allshare Play and I downloaded Allshare on my laptop but I can't seem to get it to work. I downloaded Allshare on a friend's laptop and it worked just fine; I was able to see the pc's folders and their contents. I have the latest firmware version installed on the tv.
On my pc Allshare doesn't show any device detected/connected. My machine's specs are: 1.60 GHz, 2GB Ram, 32 bit and Vista Home. The other pc's specs are: 2.0 GHz, 3GB Ram, 32 bit and Win 7 Professional.
I have tried a number of different things, i.e. disabling firewall, etc without success. Any suggestions would be greatly appreciated.