The SMART Self-Test Unit means that the diagnostic utility failed to read some certain sectors on the drive and predicted an imminent HDD failure.
As for the Local Connection Test - Warningerror, this article states that:
These warnings appear due to the state of the network your PC is connected to and not the state of the wireless LAN hardware in the PC. For example, the user may not be connected to a wireless LAN network or the wireless LAN network may not have access to the internet.
These warning messages do not indicate a hardware issue. No hardware should be replaced as a result of these warnings.
If you encounter this it is recommended that you send the unit for service.