Samsung Kies is the official program for connecting your phone to the PC. Wireless or wired, and I think it also has a feature for sending text messages when the phone is connected wirelessly. Wifi is usually faster than bluetooth.
I like to use an SSH encrypted tunnel into the phone for wireless file management, use SSH Server app on the phone and WinSCP on the PC, and this is secure if set up properly. Low maintenance once you get it going. Also, you don't have to deal with the aforementioned Samsung software
To mirror the device on the PC maybe you could make a VNC server on the phone, WITHIN the SSH tunnel... i'm curious to find a suitable and FREE app for this now for myself as well.