Hi Steph,
Only looking at your layout and not considering the schematic … You have your Vdd on the back, which is OK, you still need to bring that to the front using Vias to connect up the pin 4 of U1 and pin 1of R1 and Pin 1 of D1. Here I struggle to explain how to create the Vias without the use of the hot keys. I have mine set up the same as @ChrisGammell whereby 1 = Front, 4 = back. So I would press 4 for Back plane, X to create a trace click on say VDD, draw a small trace and then press 1 to create the Via and continue the trace on the front plane.
Concerning D1 and D2, it looks like you might have them the wrong way around. Double check the symbol pins to footprint pins.
The trace for Pin 2 of R2 to Pin 6, U1 looks like it is not actually connected. The vertical trace does not look like it is actually reaching the horizontal trace. Zoom in on the connection between R2 and C1 and you might see what I mean.
Pin 1, R2 is missing the trace to Pin 7, U1.