The parasite cleansing order isn't essential its an “ideal” scenario, but I would have thought that thorough parasite cleansing would take 2 weeks or more?
Being a drinker doesn't prevent you from flushing your liver it just gives you a bigger reason.
Given your present position and what you are trying to do. You could finish the Master-Cleanse and Liver Flush immediately. Get yourself back together and then parasite cleanse followed by another liver flush