Your approach seams to be correct. But your numbers looks wrong. Hence wrong answer.Thanks for the help.
Just to quickly clarify if possible, for part (ii) when its using the 2nd aproxx. Is Id 21.5mA?
My solution came from:
Vd = 0.7V
2x Vd = 1.4V
So the voltage drop across R2 will be the same since it is parallel.
Then the voltage drop across R1 must be 12V - 1.7V = 10.3V
Using KCL, I1 = I2 + Id
Then doing some quick Ohms Law I arrived at Id = 21.5mA