I got the idea that you intend to leave Karachi at 5:00AM, you didn't mention the starting point and vehicle, but you can easily travel to Hyderabad in under 2hours from your home.
Also, on day 2, you can easily by-pass Multan altogether, from Bahawalpur when you are going towards Lodhran, and a few kilometers after you cross River Satlaj bridge, take the right turn on E-5 which will take you to Khanewal toll Plaza.
When I was travelling in late December 2018, people have suggested not to take the double carriage (single road) from Chichawatni to Toba Tek Singh, so I avoided that and traveled on N-5 all the way to my destination i.e Lahore.
You may read my thread here:
As for papers/documents:
Valid CNIC, valid driver's license, vehicle registration book, up to date token tax, and just to be extra careful, valid 3rd party insurance certificate & highway pass code book. I was only asked for my driver's license when I was booked for over speeding near Rahim Yar Khan/ Sadiqabad, was doing 75km/h on a 50km/h limit stretch.
Regards