Actually the curling was due to the shape and the softness of the foam. The triangle cros-section meant the skins were joined at the aft point.
Is this what is happening? Attached. That is the property of a low modulus plate when subject to bending forces. The outer edge curls.
The OP seems to have vanished but I wanted to know if a spar is needed.
I made an error on the shear stress. It is still in lbs not psi. To get shear, Vload must be divided by area to get psi o the height x shear stress of foam to get shear. The 22 psi of foam will suffice but I went ahead and tried to find out if hanging a "cannon" on the tip will require a spar.
With a 6 lb cannon on the tip, I get a constant Vshear load along the height of the wing. The calc shows me that a 0.30" width of 22 psi foam will suffice. Since the foam is wider than that, the 22 psi foam can take the concentrated cantelever load. The caps of about 4" wide (top and bottom) is needed along the span at the spar position. I chose 2 layers of unidirectional fiber as this gives me the greatest strength of 66,000 psi. That takes care of the cantelever load.
Because the wing tapers at the leading and trailing edge, reducing the EI (modulus), curling will occur under load, the leading edge must be reinforced with an additional layer and the triangular trailing edge replaced by a higher modulus solid wood. With a more solid leading and trailing edge and a spar cap, the wing can now handle torsional load and the skin laminate can be a biax 2 layers thick. This will handle lifting where the stresses are reversed.
Final lamination will be;
2 layers UD (0 degree) fiber 4" wide for spar caps (top and bottom) located about 40% from leading edge.
I layer extra 6" wide BD (0/90) fabric on the leading edge.
1 layer extra (0/90) on the trailing edge to cover the triangular wood.
2 layers Biax (+45/-45) top and bottom skin.