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JimmieD
In a way I confused myself on my reply. One of my worst exeperiences towing was using a '78 D-200 & HD towbar to pull a heavier '77 W-200. The W pushed the D all over the road & thank God I didn't have to go over 25 mph! It was really scary, almost out of control from the minute it was all rolling. So, I think I fed that into my reply.

On the other hand I'll stand on saying the chassis & drivetrain - engine/trans/axles/brakes have to be heavy duty, minimum of 1 ton, to haul a heavy tandem or triple axle trailer plus a heavy truck onboard. Been there too & you can feel it when the truck isn't up to the task.

There is a HUGE difference between flat towing another vehicle and pulling a trailer.
The flat towed vehicle will not track and tends to push the tow vehicle when cornering under braking. You'd need a braking system or a vehicle that outweighs the towed vehicle by 3 to 1 to safely flat tow.

As for the trailer;
I'm less concerned about the 3/4 ton truck and more concerned about the gasoline engine. The power will be severely taxed and the fuel economy will be under 9 mpg.
Hate to say it but, that discarded diesel truck would have been perfect.
With the proper brakes and controller, you would be factually OK, but you may not be legally OK.
Check your owners manual for the manufacturer's certified towing rating of that truck. If you exceed the stated recommendations and have the bad luck to have an accident, you might not be covered by insurance.