Critique of first PCB project
please specify the direction 'electrical type' for the relevant pins in your symbol
Always include a frame in a schematic
when dealing with ICs just break out connections by making a net / wire at a pin, naming it, and then doing the same with the same name where it belongs... there is no way I can trace your diagram to debug that, and it looks much cleaner.
You need a ground plane. Top and bottom.
It's hard for me to tell how big those traces are but they look pretty small to me. While some traces HAVE to be small, as soon as they are out from under your chip, they should grow to a much larger size. Small sized traces are subject to failure by many means
Keep the oscilator's traces as far away from each other and any signal as possible, as they generate noise. You have lots of space at the bottom, use it.
Why is the chip off the board? That sounds like asking for trouble.
I use OSHPark for quick turn PCB prototypes. It's like a dollar per square inch, and unless you live on the margin, you can afford the extra dollar and do it right.
Unless the datasheet (I haven't put in the time to check) specifies you don't need an external ground, you probably do.
Check 10 times to make sure the pin out on the chip is right, there are a lot.
Usually it's a good idea in a schematic to show all the pins, and just only connect the ones you want.
Symbols need both NAME and VALUE, even when you don't intend to use value
The closeness of some of your wires scares me, have you run a DRC?