I disagree, ive described THE problem.
Its a problem thats inherent to Mourinhos style of football and his philosophy. Take a look at his possession based Cheslea and Madrid side and they all had the same problem when they came up against solid defensive sides.
We had 10 draws at home where we roughly averaged 60-65% possession and scored no goals or only 1 per game. If we had made use of all that possession and won those games, we would be 20 points better off, 2nd in the table only 4 points behind Chelsea.
Mourinho is practical. He identifies teams that are better at keeping possession than his team and he lets them have the ball. In the entire league season Mourinho only really played an all out counter attacking style against city, arsenal, spurs, liverpool away, chelsea away against the rest he tried to keep possession. Theres no doubt that our main issue is opening teams up when we have the ball. But i do agree, having a great counter attack is an advatage against the top sides. Regarding that i disagree with you again, I highly doubt Perisic is the best player for making our counter attack potent.