I am planning to make A arms and the push-rods using carbon fibre tubes.

You need to calculate look at the arrangement you are going to use, calculate the forces (which you have calculated axial by the looks of it) but is there any bending or shear induced due to the mounting type?

Then design separately for:
Pure Axial tension
Pure Axial compression
Axial tension / compression with nominal bending from the axial force and a nominal lever arm
Bending moment capacity
Buckling moment capacity
Combined buckling and axial forces (tension and compression)

Then:
Check deflection in all load cases for calculated stiffness of tube and arrangement.

The tube will most likely be a combination of UD at 0, +/-45 and 90deg to the C/L