@Lunde
Yet IIRC she wasn't equipped properly and wasn't even wearing hiking boots but snowboarding boots.
That is correct. She also did not have crampons and was using a pair borrowed from Thomas P that did not fit her, and she was using a splitboard rather than dedicated skis, making the skiing sections of the climb more difficult. They had little emergency equipment. She had an emergency bivouac bag in her pack, but he did not.
It is speculated that she attempted to call for help at 5.22pm as her phone called 149 - the emergency number is 140
Yes, and an hour later she inexplicably texted "we're down" to her mother.
They stopped moving at 8pm.
Yes, although this appears to have been a temporary stop.
Other hikers called the emergency services much earlier but he declined help
The only help was the rescue helicopter. See the next point.
A rescue helicopter reached them at 10.40 but he failed to acknowledge this first rescue helicopter sent. He refused to answer the question of whether she was able to walk at this stage.
Neither climber acknowledged the helicopter. They didn't even look up at it. They were still moving towards the summit, albeit slowly. The judge's notes say that she could only crawl on all fours at this stage. As you say, Thomas P refused to confirm or deny this in court. Note that, if they had signalled for help they would have been charged over £5,000 for the rescue. If they did not have insurance to cover this, that is a strong disincentive to call for help.
He insisted that they didn't need help when contacted at 12.30am by rescue
No, he was not contacted by rescue. He contacted the Alpine Police. The content of this call is disputed and there is no recording to confirm what was said. Mathias A, who took the call, says that Thomas P insisted help was not required. Thomas maintained that the whole purpose of the call was to request a rescue for his girlfriend. It may be that Thomas did indeed insist that no help was needed, although it is hard to see why he would call the Alpine Police simply to say this. It may equally be that this was a tragic misunderstanding.
He failed to put her in the emergency sack or use the emergency equipment she was carrying when he went to "get help" at 2am saying he had forgotten about it.
Correct.
When he finally called for help after 3 am he at first claimed everything was fine and only later in the conversation revealed his gf was still on the mountain. He refused to return to her on the mountain-
Again, this is Mathias A's account of the conversation which is disputed by Thomas, but he did indeed decline to return to Kerstin's last position, saying that he needed rest. If he was genuinely exhausted to the point were attempting to return to Kerstin would have risked him becoming a second casualty, he was right to refuse. However, if he could have returned to her safely, he should have done so.
His Go Pro camera "disappeared" and investigators were unable to access any footage from that climb.
The inverted commas suggest you think it was lost deliberately. The prosecution did not argue this. I'm not saying it was not deliberate, but accidental loss in the extreme conditions cannot be ruled out.