I'm not sure of the current, but it's driven by an Atmega, so should be 40 to 50 mA. The diodes are marked T4, which I believe is 1N4148 SOD-123.
And yes MK14, I suspect I abused it with the soldering iron, cooking one of the legs a little too long. I didn't think about current leak - that would probably make it less than useful in a circuit. Perhaps it started off at 0.6v and because of the, erm, prior cooking, it just continued to deteriorate and drift over time. I think that answers both of my questions. Thank you very much.