Can I connect the Nokia Lumia 630 to an old TV using Nokia CA-75U TV-Out cable (from N95/6)
No, you can't with that cable.
Most modern phones don't have a TV-out (or HDMI out). Instead they have wireless options like Airplay on the iPhone, which requires a device to Airplay to such as the Apple TV.
With Windows Phone 8.1, a feature called Project My Screen was introduced. Only newer devices support the wireless option, but it possible to mirror your device with a TV or PC.