1. YES
2. also yes
3. yes
4. yes
5. there were two listed. it was difficult to discern which was what.
To clarify the model, it's black, and the label on the back says
TIME 06AP 2.2a QQIXB
I also found some newer replacements we have in stock. Model
TIME 11DC 325-62 QQIXB
I'm in the process of programming one and shipping it to see if it works better.