Your hard a port is in a weird spot. Is this a second hard a port after the one where he was trying to miss the berg?
That's because I do not believe that the hard-a-port order was part of the ice berg avoidance manoeuvre.
I have tried to imagine what was going on during the first 10 minutes after impact. This is how I see it.
When the helm was put over hard left, the ship's bow began turning to the left at an ever increasing speed. Then came contact. The engines slowed down rapidly as did the ship. All the while, she was curving away to the left and slowing down rapidly The engines began running astern. The forward motion fell to zero before the engines were turning astern at maximum revs. She may even have gained a little stern-way. The captain stopped the engines. When he thought the ship had stopped, he asked QM Hichens.."How's her head Quartermaster? Hichens replied: "South 88 West, sir". She was originally on a course of North 71 West but due to a combination of rudder and impact had swung 2 points (22.5 degrees) left and was then stopped with the iceberg astern.
At that moment, Captain Smith thought, like everyone else that the encounter with the ice had been minor and that his ship has suffered slight if any, damage. With this in mind he did two things. 1: He brought his ship's head back round to her original heading of North 71 West, ready to resume the passage to New York and 2: He sent standby Quartermaster Olliver to find the Carpenter and get him to sound round to make sure the ship was not leaking.
To bring her head back to the original course he ordered the engines Half a head and the helm hard a-port. The rudder would not have done it's job without the help of the propeller wash. The helm order would have been to Moody. It would have been something like : "Hard-a-port. Bring her head round to North 71 West. Let me know when her head is steady on that heading." About 8 minutes after impact,
Titanic was stopped about half a mile south and west of the iceberg. At that time, those on board the ship would see it on the starboard quarter. Less that 2 minutes earlier, anyone looking aft would have seen the stern swinging away from the berg