The 1984 Honda Civic has 3 recalls, the most serious being a fuel pump that can develop a leak at its seam and cause an engine compartment fire.
The fuel pump concern applies only to carbureted models, where the two halves of the pump can separate at their crimped seam over time, allowing fuel to escape near hot engine components. On the structural side, a tolerance error in the hood safety catch can allow the hood to fly open at highway speeds or after hitting a large bump, instantly blocking the driver's view of the road. There is also a drivetrain concern: the left side driveshaft can develop a crack at the boot locator groove, and under hard acceleration or deceleration, that crack can cause the shaft to break and cut power to the wheels without warning.