In physics, do I have to change Celsius to Kelvin or vise versa when I am doing specific heat. Also, what should my answer be in? K or C?

Answer 1

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Most uses of specific heat or heat capacity involve temperature differences. For that, you don't care about absolute zero. A temperature difference in K or C is the same measurement. (Ditto for Fahrenheit and Roentgen scales, but Roentgen is rarely used for anything.)

Answer 2

For any measure of change of temperature, Kelvins and degrees Celsius are identical.

Only statements of the temperature in absolute terms need to pick a scale.