Peter Quill's power status can change in the comics. There are instances where he faces challenges that result in the loss or alteration of his powers, but it's not a consistent occurrence throughout all comic runs.
It depends on the specific comic storyline. Sometimes he loses his powers temporarily as part of the plot development and character arcs.
Yes, he does. At certain points in the comics, Peter Quill's powers are lost or weakened due to various storylines and circumstances.