We can’t see the names of the wires in that image. I guess VCC is the red (top layer) trace. That looks like it makes an adequate connection with the pads. It should normally snap to the center of the pad. Did you route it with the Line command or the Route command? They’re right next to each other and both put copper on the board but Route is the correct one for replacing airwires with real wires.
The blue trace (ground?) is more worrying. It is on the other layer so while it crosses the connector, it doesn’t connect to it.
When you are routing with the Route command, you can switch layers at any point. It will automatically place a via for you, with the current Via settings. If you start a trace from any pad, it will switch layers to start with the pad’s layer.