Brake check flashed on first time, and the check oil and check battery light on the second time

I would check the serpentine belt, tensioner, and idler pulleys. A slipping belt will cause you to lose power steering (that “heavy” steering wheel) and can cause a multitude of lights to come on in your dash. While the belt and accessories are being checked, fluid levels should also be checked, the battery should be checked, and if there is any doubt in your mind about the brakes or steering systems, those need to be checked as well. The brakes and steering are the two most important parts of any car, not the engine or transmission like a lot of people think.