Does one also need a household registration booklet for a visiting friend visa? My mother has declared herself a refugee in Canada, will it affect the result of my visiting friend visa?

The visa center will check all your records. The reason why your mother declared herself a refugee is more important, as is her performance there. It is best not to have a tainted record. The visa officer will verify this information and contact the local immigration bureau to request a reply about your father's situation. Also, where are you from? Some provinces or regions have been blacklisted by the visa office because of too many people claiming refugee status. Personally, I don’t recommend a tourist visa.