If the sponsor is Canadian citizen, then they can be together in a foreign country as long as they want until the applicant receives the PR visa and land to Canada.
Btw, you think vacation of 2 months is considered short and temporary?
So in your first post, you said: COPR has only your family name. Your family name was entered as last name in COPR as per Canadian immigration standards.
1) Probably not. You would have to check your province's website. Prepare to purchase travel insurance for emergencies.
2) Check with your travel insurance broker
3) Canadian insurance companies
So you both lived together as roommates before having a relationship? Why create a new thread when you could just continue the one you wrote 6 months ago you left off? And give a reply to that poster.