SQL Server - Runing properly with Instalation Failures and Router?

Hello,
I've bought SQL Server 2012 but i have some complement problems involve.
First of all.. in the installation history i have two failures:
- Database Engine Services
- SQL Server Replication

Also i'm using router for wide internet connection.

My problem is when i try to connect to SQL Server and i pass the info correctly it still give me the following error:

"Cannot connect to ZDRAVEC-HP\RAYONLINE
Additional information:
A network-related or instance-specific error occurred while establishing a connection to SQL Server. The server was not found or was not accessible. Verify that the instance name is correct and that SQL Server is configured to allow remote connections. (provider: SQL Network Interfaces, error: 26 - Error Locating Server /Instance Specified) (Microsoft SQL Server)"