HDMI port not working , video grided

I have Dell inspiron N4010 laptop, recently I have installed new OS and disconnected key board due to problem like continues beep sound while starting the system and after that when we click any file it shows the dialog box for delet option, now its resolved by disconnecting the keyboard now Im using logitech wireless keyboard . Im trying to ''connect my lap top with my Sony bravia TV via HDMIcable but its not connecting and also Im facing the problem while connecting my mobile wifi hot spot with my lap top wifi can anyone please answer for this problems.