You may end up having to follow velocity4g's suggestion.
Printers are not made to last and their real purpose is to make you purchase more ink from the manufacturer.
Cheap printer - expensive ink. Printer may be at EOL (End of Life).
Do try reinstalling the printer drivers.
And again open up the printer (per velocity4g) and check everything and everywhere.
Look for some small defect - twisted metal, plastic, cracks, burrs, small screw sticking out, some surface worn down. Anything along the paper path including tiny paper scraps. Including the trays.
Any deformation or misalignment can cause jams.
Brother's website might have something helpful within their forums and FAQs. Look for what is said as well as what is not said.
They tend to not mention problems with a particular line or model....
And do take a look at the rollers. If they cannot maintain a smooth and continuous feed the printer will jam. Look at any gears that you can see.
If you can find a working printer, compare the two. You might notice some difference.
Up to you to decide how far to push self-repair attempts.