Congratulations on baby number 3. Sorry to hear you having such a stressful time. Every school has to have an anti-bullying policy and the school has to address any matters of bullying that are reported. The school should be educating this little toe-rag that can't go around bullying.
My advice would be when you speak to his teacher take a notepad and pen with you to record what is discussed and keep copies of any correspondance as evidence to use against the school.
If you are unsatisfied with what Connor teacher is doing to deal with the situation tell her you are not happy and you are taking the matter further.
If the school refuses to address the issues of bullying inform the head that you are taking the matter further whether this be with the local council, the HMIE or even the press.
Good luck but don't back down. I would suggest that you could always do an Anna Friel impression from the street and confront the little sh1t's mother telling her if her son didn't stop bullying connor you were going to do the same to her but only worse but this is not adviseable in your condition.