You mostly need to see a lawyer ASAP.
As I understand the process, you do not have a right to appeal but must request leave to obtain judicial review. This is not something even a law-trained person should attempt for himself or herself. Lawyer-up if you want to pursue saving your PR. (Obviously, at this juncture the odds are not good.)
Note: with a visa-exempt passport, you want to in-fact stop working and leave Canada if and when the Removal Order is enforceable. Breaching the PR RO is not a violation of Canadian immigration laws or even rules, but is merely a failure to meet a necessary condition for retaining PR status. Thus, if you leave timely and do not otherwise violate Canadian immigration law, you will continue to be able to visit Canada regularly.
On the other hand, if you do not leave timely or otherwise have enforcement action taken against you, that could have a detrimental impact on your capacity to visit Canada in the future.
Must comment on lesson-to-be-learned:
Applying for a PR card and then going abroad, either when already in breach of the PR RO or such that going abroad will lead to being in breach of the PR RO, is a surefire way to lose PR status.
The application for the PR card invites a residency determination. A negative residency determination will lead to a predictable disposition, which is the loss of PR status unless there is good reason otherwise.
For the applicant who remains in Canada while the PR card application is pending, the time spent remaining in Canada does not count toward compliance for purposes of PR card eligibility, but it will count toward compliance generally up to the date the individual is formally reported for being inadmissible or a Removal or Departure Order is issued.
For time in Canada, only time in Canada after being reported or issued a Departure Order will not count toward compliance, for purposes of terminating the PR’s status.
Generally it is a mistake to apply for a new PR card unless the PR is both settled in Canada, and as of the date of the application is in compliance with the PR RO. One without the other might not be too bad a mistake, depending on circumstances, but if neither of these conditions are met, it is almost certainly a very serious mistake which, depending on how much short of being in compliance one is, is more or less likely to result in the loss of PR status.
It appears that many still think a valid PR card means valid PR status for the period the card is valid, and will take chances to obtain a new PR card thinking that will keep their status going. Does not work that way. Moreover, it is increasingly difficult to renew the PR card unless the PR is in fact settled in Canada and in compliance with the PR RO.
In any event, applying for a new PR card before being in actual compliance with the PR RO does not necessarily lead to the loss of PR status. In particular, if there is time to come into compliance before a decision is made, and the PR stays in Canada and thus gets into compliance before a decision is made, PR status should not be lost. On the other hand, the PR who is in breach of PR RO and who leaves Canada while the application is pending, is basically giving IRCC notice that his or her PR status should be taken away.
Some may think that once again I am stating the obvious. And to a large extent it is indeed obvious. Except for some reason a lot of PRs fail to recognize this.
Even those are in compliance but who cut it close would better protect their PR status by remaining in Canada while the PR card application is pending.