A:AnswerYes it has a pedal. It's really a nice keyboard and the sound and feeling of the keys are just like a piano. It has a computer hook up too which makes it easy for me to take lessons on line.
A:AnswerMine does not have that key business going on. I would assume that it's a defect and you should return it and get another. Overall I have really liked mine and have no complaints. Good luck going forward.
A:AnswerYes, the sustain foot pedal is included in with the keyboard. It’s attached with a cord to a small plug in the back and is removable. Only the sustain pedal is included.
A:AnswerThe P45 does transpose.
"You can also play around with tuning calibration functions, a transpose function and a metronome for keeping time."
Source : http://www.digitalpianoreviewsite.com/yamaha-p45/