Car running rough/ brakes not working properly. Check engine and VSC lights on. on 2002 Lexus RX300

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codes reveal misfires on 3,4,and 5. In addition, periodically, the brakes do not stop the car. They slow it down, but after one depression the pedal becomes extremely hard, like pushing on a rock, and does nothing to help stop the car. Can these issues be related? (It has been extremely cold outside.)
(2) Answers
(2) Comments
There is a vacuum circuit problem for the brake booster. It is possible misfire is related. The vehicle needs to be checked out by a mechanic hands-on!
Update: Had the timing fixed and now the brakes work just fine. Weird.

Thank you for your help!
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