It will be very difficult because you claimed asylum and IRCC will assume they will not leave and claim asylum too. If they all apply then they have no family ties to return too. Funds should be about $10k CDN per person for a 2-3 week visit. They need to show absolute ties to return - Job letter with approved leave, business, income property, school tuition paid. Also they want to show travel history to UK, US, NZ and AUS.
So chances are almost nil. You are not a protected person nor have applied for PR.