Yep, that is the code you would need to update. so for this piece of code:
Serial.print("acc:");
Serial.print(accel_x_axis, DEC);
Serial.print(",");
Serial.print(accel_y_axis, DEC);
Serial.print(",");
Serial.print(accel_z_axis, DEC);
Serial.print("\t");

Something like "acc:190,200,233" would be sent across the serial connections. To make the serial data easier to parse you might change that code to:
Serial.print("accel_x_axis=");
Serial.print(accel_x_axis, DEC);

Serial.print(",accel_y_axis=");
Serial.print(accel_y_axis, DEC);

Serial.print(",accel_z_axis=");
Serial.print(accel_z_axis, DEC);

Then you could parse each key/value pair. Is that kind of what you were asking for?

I think that Serial.print and serialWrite do that same thing or pretty similar.