Hope it works out!
I can't say anything about whether the connections are correct, but here are some thoughts on the layout.
Watch the clearance. It should ideally be as large as possible; often I work with ~0.4mm trace width and 0.5mm spacing (1mm trace-to-trace). Take particular care around unmasked copper such as through-hole pads (e.g. on the 2x8)
Circled upper-left: the corner can be avoided by routing from the left/bottom left of the pad.
Circles right: angles a bit messed. Neatest is to use 45° angles for everything.