Hello NesNYC718. Thank you a lot for replying.
I use NOD Antivirus. I tried to disable theantivirus, disabled firewall, but still after pressing the F5 key for Debugging, the IE7/Internal Web Browser/FireFox opened but they still refered to different port number - and the page did not run.(I had to manually change the port number)
Yes, you are correct, maybe, I should try to uninstall the antivirus and maybe to use something different.
NesNYC718, I noticed that if I create a new C# Proejct (ASP.NET WebSite), I can get page open appropriatelly. This happens only, when I create New WebSite - hopefully to understand the difference. There must be a solution to this.