I then reversed my SCL and SDA wires (BMP SCL pin to UNO A5; BMP SDA pin to UNO A4) to see if this fixed some of the errors, but alas, I observed identical results.
So, it starts working initially, and then stops working, and you think that reversing the wires will help ?????
And then, after you connect the clock line to the data pin, and connect the data line to the clock pin, you get IDENTICAL result ?
Garbage in, and garbage out.