@Aboje i see I allot of incorrect guidance you are receiving. I’m a protective person my American minor was always denied on my refugee claim. I will try to share what I know based on the important issue you brought up.
1) Health care- your child is eligible for health care, you need to apply for a study permit. I had a study permit issue for my son after his refugee case denial.
2) register for school- most provinces would allow to register based on parents status, if you put in for a study permit and have the submission letter you can use that along with your the partner documents and take the PR submission letter.
3) leaving the country - I’ve requested for my son passport back numerous of time and the indicated it won’t be return until he is PR.
I’m going yo make a bold move and will update on my findings as I’ve gotten multiple response from IRCC, CBSA and US boarder control. We are traveling yo the nearest US boarder by land for vacation. I have a US Visa since he’s under 16 he can travel between boarder with birth certificate and and ID.
I’ll update if I have any issues returning him to Canada. In the main time his passport is expiring in 3 months and I will be renewing his passport I spoke to US passport office and explain I do not have his old passport Canada immigration has it. They gave me steps on how to reapply for it.
reapply for passport- please speak to lawyer as ever situation is different and my son has dual citizenship in my home country aswell as the US. US gave me a form to fill out indicating that that passport is lost or stolen “ because I have request for the return of passport and have been denied the rights to get it back over that passed 1.5 years. “ the US will issue the passport back.
Please note requesting back it goes in an international database that will set alarm to Canada immigration. Since the processing time for refugee Dependent is 45 months. I’m more concern with my son having his identity as he will be preparing for university in the next two years and would have no need for Canada PR.
I hope this was a little helpful and if you need any help based on my personal experience I’m willing to share some insight.