Axial (normal) forces passing thru the point about which you are summing moments do not produce bending moments. It is confusing when you show these forces as pointing up and down on the beam.
In taking the moments about C , you need to consider all the forces and applied moments, not just the ones to the left of C.
It is best to draw the moment diagram first as best you can without too many values at first. Also, always treat positive bending moments as clockwise per engineering convention. Remember that the area under the shear diagram between 2 points represents the change in moment between those points. And The slope of the bending moment diagram tangent To the curve at a chosen point is the shear at that point.
Edit: o sorry I wasn’t thinking correctly your method for moment at C is correct. But your Answer is wrong because you need to correct your reactions at supports and watch your simple math.