@ddebbil the fuse is a 3A 32V in a 0603 package. Always buy more than you think you need and check your backlight circuit for short circuits. Can it be done? Absolutely. If you have never done it before, get a couple of old boards and practice. If totally unsure, get someone else to help you with it.
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=== Update (05/28/2018) ===
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@ddebbil the part circled in green is R4272 which is a 1K 1/16W 5% resistor in a 0402 package and the part circled in blue is Q9807 which is a SSM6N15FEAPE Silicon N Channel MOS Type transistor in a SOT563 package.
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Use Kapton tape while trying to solder to keep nearby components from getting damaged.
@ddebbil the fuse is a 3A 32V in a 0603 package. Always buy more than you think you need and check your backlight circuit for short circuits. Can it be done? Absolutely. If you have never done it before, get a couple of old boards and practice. If totally unsure, get someone else to help you with it.