JEE Math Practice Question

Let C be the set of all complex numbers. Let S1 = {z$$\in$$C : |z $$-$$ 2| $$\le$$ 1} and S2 = {z$$\in$$C : z(1 + i) + $$\overline z $$(1 $$-$$ i) $$\ge$$ 4}. Then, the maximum value of $${\left| {z - {5 \over 2}} \right|^2}$$ for z$$\in$$S1 $$\cap$$ S2 is equal to :

1. A.$${{3 + 2\sqrt 2 } \over 4}$$
2. B.$${{5 + 2\sqrt 2 } \over 2}$$
3. C.$${{3 + 2\sqrt 2 } \over 2}$$
4. D.$${{5 + 2\sqrt 2 } \over 4}$$