Since you have tried you equipment on another network it is unlikely it is a software firewall the most common cause of this issue. It is also unlikely it is your router.. I am assuming you do not have any firewall active or do any strange routing. If you can try it without the router by plugging into the modem, if that is a option. If it works without the router be sure to see if you are getting the same IP address both for the router and your PC directly.
I would open a cmd prompt and issue a traceroute to the web site from your home and from starbucks and see where it looks different.... obviously the first couple of hops will be different.
Watch very carefully what ip address the web site resolves to. If it is different you could have a DNS issue. You could try one of the public DNS servers like 126.96.36.199
Most other causes are intentional blocks placed by the ISP or the WEB site. Finding out why the may have blocked it and what it takes to unblock it will take a lot of persistent emails
I am able to access all website except one particular website from my home network. Also, I am unable to access the same website using my ipod-touch. The website is up and running and it is not down. In order to verify, I took the laptop and ipod touch to starbucks. I was succesfull in accessing the website from starbucks using my laptop as well as my ipod-touch. Also, I tried to replace m existing router with a new router, but still the problem exists. Would really appreciate if you can advise resolution for this issue. Operating System: Windows Vista 64bit