My request for collection was Friday afternoon, so dhl couldn't take any action till Monday. Passport was picked up on Monday and I received it on Thursday and thats because I'm in Abuja, it would probably be a day earlier if you are in Lagos.
No, you'll need to give them print out of the pum as well as an authorization letter. My pum came 3 days after approved status, so you might wait a bit more since its a weekend.