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Yes, if we get significant figures wrong be will be docked points. As for converting SI units, I would say if the question specifies a unit for the answer, then go for the specific unit. If the question doesn't, then as long as it is an SI unit, (meter, kilogram, second, etc) then I think its fine.
Also, I'd add that it's important to remember what SI units are used for constants, so that you can be sure the units cancel out in your calculations. For instance, lengths used in calculations involving Planck's constant should be in meters, masses should be in kilograms, and times should be in seconds since the unit for Planck's constant is m^2 kg s^-1.
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