There are many variables that can make any engine "erratic" on acceleration.
These can range from poor quality/contaminated fuel, defective spark plug wires, to a defective sensor etc.
Best advice is to get a diagnostic reading (off the ECU) to zone in on the problem. This should save time & money in the long run, instead of swapping parts "on a hunch" & hoping to catch the problem.
It would be a waste of time and money. You would have to make a special adapter to hook the exhaust to the manifold. On a turbo header, the exhaust hooks to the turbo and the turbo to the manifold.
It would make it go faster.
The Drivetrain
Going up a hill would make your acceleration decrease or cause it to be slow. Going down a hill would make acceleration increase causing you to go faster.
That means the timing chain and gears are worn out / to loose.
TURBO
Yes it will make your life much easier to have the turbo ecu and harness. The turbo injectors have a resistor pack that the non-turbo engines do not use. So that would have to be manually wired in to use stock turbo injectors and ecu.
In physics, if the balance reading is zero then the magnitude and direction of acceleration would also be zero. There can be no movement or force if everything is balanced.
The automobile has good acceleration
check if you have an aftermarket turbo LOL
yes,its called the turbo whistler
it would be alot of effort to turbo a 1300 engine, most people just cam the 1300 engines do a little head work skim the head to raise the compression and use them for kit cars, not sure if the parts are available, it would be a customer job to find small forged pistons to drop the CR (compression ratio) it would be much easier to fit a 1600 chv turbo from a fiesta or escort turbo,