I believe I figured what the problem was. I have two firewalls on the computer where SQL Server is installed. One for home network (which I disabled) and another one for Public networks (which was enabled). Once I disabled the Public fire wall I seem to be getting connected. Now I will need to figure how to have the Public firewall enabled and still allow me to connect from another computer.
Update: And I figured how to have the Public network enabled and allow access to the SQL Server from the public network.
Update 2: THANK YOU VERY MUCH for your help.
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