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Usually you have the rotors resurfaced but the IS F comes with drilled rotors if I'm not mistaking, in which case they can't be resurface.That's probably why they want you to replace them. Personally I would hold on to next brake change to replace them especially if you don't drive it as much.
Check battery connections make sure they are clean and secured. Have the battery tested, they do it for free in most parts stores
You are shorting out some where in the system. Start checking the wiring
If all else fails, start pulling one out at a time until you find the burned one.
Check engine light on ? What is fuel pressure reading?
Take it to a mechanic, noises are hard to diagnose unless you're actually test driving the vehicle, any advice given here would be a guess.
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There is a lot of videos on YouTube for bleeding brakess, faster and easier for you to understand than here. You do it once you've done them all. Pretty similar in all cars
Agree with G.T. Give both a good cleaning
Bleed the air out first. Open the reservoir, turn on the car and turn steering wheel fully to the left and full to the right several times. the noise should start going away and steering should get smoother.