Order of Elliptic Curve over Finite Field contradicts Lagrange?

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Please see the attached image for a question on why the order of an elliptic curve does not consider the point at infinity in order to avoid contradicting Lagrange's Theorem.

Elliptic Curve over Finite Field specific Example

Matlab Plotting of the Elliptic Curve

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  1. It would be convenient for readers if you presented the question in text, not in a picture.
  2. Drawing curves over finite fields in MATLAB is not terribly illuminating.
  3. This is not an elliptic curve: it is $y^2=(x+4)^2(x+3)$, a rational curve with a node.