sounds like the judge's have handled this sensibly and saw through her nonsense. at your next hearing you can tell court that its entirely unreasonable for you to travel such long distances to collect and drop your children yourself, and it should remain as a shared task between both parents. is there anything else that has not been covered, do you get half of school holidays?
I deeply sympathise - my child's mum went down the false accusations route in response to my C100 / C1A. Although her accusations didn't directly cause me to lose time with my child, they were a major contributor.
It is unbelievable that courts entertain accusations against men without evidence, while at the same time, they won't respond to very young children saying they are being hit by one of the co-parents (in my case, mum and mum's parents) unless there is a mark (i.e. evidence). It is horrifically inconsistent, and completely back-to-front. The Family Court basically is saying, "a man is an abuser as long as mum says he is, but a child isn't being abused even if the child says he/she is."
The Family Court has to wake up to women using what's been in the media re: domestic abuse to their advantage. Likewise, the Family Court should realise that men are far less likely to ever report or admit to being abused, and that it is very common for men to be the abused individual in the relationship (especially mentally and emotionally).
And again, I totally sympathise. I wish I could fix the shambles of a system we have to work with in order to protect and provide for our children.