The LCD shows the splash screen. I was not able to find the datasheet for the CPU, so if you have that I would be interested.
The scope images are just straight lines in all time divisions.
Here is the data sheet
https://drive.google.com/file/d/0B-eqpfg5gsWbang2bk04VV9YMm8/view?usp=sharing.
With it showing a splash screen and halting it points to somthing locking up after intial startup. This could be due to not reseting cleanly or for the correct duration or currupt data. I would myself force a reset by pulling the reset line low after it as got stuck. This should ensure that all subsystems are up and running before the processor comes online.
It maybe that the processor is starting from a unknown state. This can be checked by scoping the 3.3v on one channel and the reset on the other with the scope in single shot waiting for a rising edge on the reset line and turning on the power.
What your looking for here is that the reset happends after the rail as stablized.
This may not be the issue as you say you have a splash screen but its easy to test and confirms another part of the circuit is working.
Another thing I would try is adding back all the other components as the system maybe trying to comunicate with other parts of the system as a startup self test but I would expect a error.