PA-46 pilot reported pressurization malfunction and the auto pilot would not trim correctly during climb. The pilot manually trimmed the aircraft; reset pressurization; and resumed climb.

Narrative

On departure upon climb out; at 10;000 feet altitude Alert showed cabin altitude was at 10;000 feet and climbing. I tried to stop the climb but found I had no trim control. It continued to climb to over 15;000 feet with no cabin pressure. I cut power with no descent and the auto pilot would not descend. I contacted ZZZ center; and they gave me a block altitude. I gave up on the auto pilot and manually trimmed the nose down. Descending down below 10;000 feet; I reset the pressurization system and waited to see if it would now pressurize the cabin. In a climb I waited to see if it would pressurize; it seemed like forever. It finally did and that now left me with an auto pilot with no trim and 400 miles to go. All the time this was going on there were two alarms blaring. After I got to FL280 and got use to the manual trim; I realized I had not talked to Center; and I was close to where I should be talking to ZZZ [Center]. I tried the frequency I had and could not reach anyone. It took a while and I finally got to the right Center. They gave me a phone # to call and then another and was to only call ZZZ; which I did. I am not sure what caused the problems; but it would have helped if I knew to turn off all the loud warnings. The plane is being fixed and I now know how to turn off the alerts.