What's your grievance? Not a pedantic question, I'm just not sure on what grounds you would complain?
Bosses do not have to be 'family friendly', they simply have to follow UK employment law. If your life is chaotic and it's affecting your ability at work (or your attendance at work) then it's no surprise that they are frustrated about it. And if you are taking responsibility for all the issues you have with childcare falling down, rather than having your husband do his fair share (given that you are both working), then of course they will be very frustrated.
Legally, you must not be discriminated against because you are the primary carer for your child. Equally, you are protected from being bullied (which is measured very subjectively and can be quite difficult to prove). Additionally, you have the right to unpaid emergency time off (limited to the amount if time it takes for you to arrange alternative childcare).
As a working parent you have a responsibility to ensure you have adequate childcare support in place to cover all reasonably foreseeable circumstances and that would include (a) times when your child is ill and (b) times when you are required to perform your duties outside of normal times/places (assuming you were aware of the likelihood of these occurring when you joined)
Mandatory training should be offered on your normal days of work, or you should be given adequate notice if this is not possible - are you saying that they sprung this training on you or were unreasonable in not switching it to a normal workday for you?
If your boss is making such comments with no grounds - eg if you are performing your work adequately and your attendance is fine then you might have grounds for complaining about bullying. But I imagine there was a background to his comments about chaotic lifestyle - what are they? We'd need the details of that to assess if he's bullying you...