I am having a problem with my net check where, though my connections are all labeled with net GND, and the ground plane is also labeled net GND, a net flag is being raised. I can't seem to find a solution for this problem. The connections seem to be connected correctly, but something is wrong. Are the connections supposed to be made using vias? Please help.
Looks like the ground flood around the GND end of RSEL isn't connected in to the rest of the GND net. It is cut off by the tracks from the high end of CIN to U2.
You need to do something like add a GND plane on the bottom layer and add a few vias to connect to the bottom end of RSEL and the rest of the GND on the top layer.
I also suggest you review your layout in the light of:
http://www.ti.com/lit/ds/symlink/tps62143.pdf
http://www.ti.com/lit/pdf/slyt614
and similar documents for U2.