As said, if vehicle well serviced, shouldn't be a problem, unless it is a driver problem.
There is a tip somewhere to let the engine run a bit when you pull into a stop to cool stuff down.
I would be inclined to take more than one jerry can of diesel. some of the fuel prices in less well travelled can be a bit shocking. If you find such a place, you can always drop a jerry or two into the tank to lessen the hi on the wallet. then refill at the cheaper places.
Do not have a deadline. Just take it as it comes.
Can I politely suggest that it require a unanimous vote that you continue on. The last thing you want is someone trying to be heroic.
With three drivers, I'd be more inclinded to swap over every hour. All get out and walk around for 5 mins (leave engine ticking). Take regular meals, but make them light.
Get a couple of thermos and fill with hot water, or tea or coffee. Good road house will provide a refill service. Allows you to take a break when you need it. Pack some sandwiches for the same reason.
Skip the lollies. sure they pick you up, but you seem to crash harder when they wear off. YMMV, but I doubt it.
Take swags or something and bed down somewhere in the wee small hours. Do not go on until you crash, because that is what is liable to happen. The job of passengers is to ensure the driver is alert and awake. It isn't to go to sleep.
Also helps with spotting animals on the road. Never swerve, just hit them. Also, ones just off the road will tend to run across just in front of you. If you do not have a bull bar, then drop to speed 20kms+ when animals are around.
Been decades since we did anything like that, but even then, we still went to interesting places for a look see as a break.
As for road works, the RTA/?? of each state will have a web page that you can look up.
Does that explore OZ(?) site list services at each town?
Edit, google maps says it is only 2,090 Kms.