If you have not worked for 7 consecutive days you can apply for EI. I believe you can your request ROE on ESS.
You do not have to be officially laid off to request it. ( google interruption of earnings)
If you do apply for EI you will be expected to look for FT employment They will also look at your previous ROE to see why you left your previous employment. If you quit to get a on call position at CP, it might be questioned.