First of all you don't require that extra piece of connection in the D flip flop .
Go with steps :-
Step 1 :- formulate expression for next output at each flip flop.
Q0next = Q1
Q1next = Q2 XOR Q1
Q2next = ~Q2
Initially Q2 = 1 , Q1 = 1 and Q0 = 1.
At the next clock tick.
Q0 = 1
Q1 = 0
Q2 = 0
Then in the next clock tick :-
Q0 = 0 ; Q1 = 0 ; Q2 = 1;
Then in the next clock tick :-
Q0 = 0; Q1 = 1 ; Q2 = 0 ;
In the 4th clock tick :-
Q0 = 1; Q1 = 1 ; Q2 = 1;
Thus after 4 clock edges , Q0 = 1; Q1 = 1 ; Q2 = 1;