Computer Question ....

So i just bought this computer on craigslist, and everytime i connect to my internet at home it says im not connected but the internet thingy says i am and im able to surf the web and all. and also it says im in a public network in which im not im at home and it never ask to if i m a home public or work connect it ont even let me change it because it says im not connected to the internet i need help on how to fix that. i need to change it to home network and also make it so it shows that im connected.. any ideas ?? i need help!! ive een searching everywhere.

ive provided pics on what im talking about

thats a sign of the alien satelites
hurry put some tin foil on ur head!!!!