12/2/2019 Apex Racing found a bug in the code for the Arduino Nano that caused the recorded speed to be 1/3 of actual! My apologies for that, the code on github is updated. Make sure you don't overwrite your config file when updating!
Couple of quick suggestions: - Have you tried with the bluetooth module unplugged? - Have to tried programming the nano when it is unplugged from the eChook PCB board, just be careful doing this as it will be easier to short out the pins this way.
Is the board showing up for you at all in the 'tools' tab of arduino studio?
The good news is that the output you've posted is mostly just confirmations that everything has compiled correctly.
Right at the end it comes up with problem uploading to board which is the actual error.
There could be a few reasons for this as Ian said. You've selected the right Arduino, so next is have you selected the right com port for the board. Unplug the Arduino, go to ‘Tools > Port’ and take note of which COM ports are listed. Now connect the Arduino via the mini USB cable. The computer will assign it a COM port. Go back to ‘Tools > Port’ and select the new COM port, which will be the Arduino.
You can verify this by unplugging the Arduino again - the port in the menu will disappear again. Make sure this port is selected when you try to upload the code.
Secondly, when you do try to upload unplug the Arduino from the eChook board.
Let us know if neither of these fix it and we'll have another head scratch