Could the crown procedure and the high bite traumatized my tooth leading to irreversible pulpitis? What can I do now to prevent?

One of the most common causes of postoperative sensitivity after crown placement is the crown hitting too high.  This can cause the tooth to become bruised and sensitive to cold and chewing forces.  Once the bite is adjusted it can take several days to a couple of weeks for the sensitivity to completely subside.  Give it time and if not better in about 10 days call your dentist for another evaluation.  Good luck.  

Sometimes a high spot on a crown can cause the tooth to act up.  When the high spot is removed then the tooth can calm down.  You may also want to see if you are clenching or grinding your teeth which could exacerbate the situation. Clenching is when you grit your teeth together.  Most of the time patients are unaware that they are doing it.  At rest, teeth are meant to stay apart, NOT together.  Should you find yourself doing it then I would suggest to put the tip of your tongue on the roof of your mouth (behind your two front teeth) and that should automatically help you keep you upper and lower jaw apart.  You may also want to get some sort of protection at night if it is something you are doing.  If you still have pain then you may need to get Root Canal therapy.