Hiya!! Somebody just pointed me in the direction of this thread! I've said it before and I'll say it again - you know you are not allowed to start a thread without letting me know ! I am your number one stalker remember 
But seriously....
I still need to read the whole thread, but have read the past few pages, got the gist of what a twat your ex is being (no change there then).
CSA guidelines are 15% of salary. Whether he likes it or not, that is what he will have to pay. There is no reduction on that unless he has DD for over 52 nights a year, which I presume he won't be doing for a while. That equates to 1 night a week. He can threaten what he likes about access, court, it doesn't mean that it will happen. I don't know about mediation, I would have thought that he should come to you,that is what has happened in similar situations that I have seen on here
He cannot force you to drive to his parents. My twat XH moved 20 miles away, then in mediation said that maybe I could drive her to him sometimes. I flatly refused, on the grounds that he made the decision to walk out and it is his contact and therefore down to him to collect her. Same goes for your X. If he wants to see his DD then it is up to him to collect her. He could book a Premier Inn or something nearby and see her for a few hours.
Parental Rights are about healthcare, education, religion etc. They do not give him a right to see her whenever he pleases. You certainly do not have to hand her over just because he says so. He needs to understand that she has a routine and you have a life
I totally agree with you that you shouldn't just let your baby go off for hours with a person who is effectively a stranger..
Please ignore whatever he calls you. My XH said a couple of times that I should grow up and if I acted like an adult, then there would be no problems over access. He said this because I was trying to get him to commit to regular times and days and didnt like being messed around. Apparently I was pathetic and childish. This from the man who walked out with no prior warning and no discussion.
I still have feelings for XH despite everything. It is hard, but the more that they behave badly, the easier it is to stop loving them. How can you love somebody who would treat you and your DD like that? That is what I say to myself now.
Stay strong. You are getting plenty of support on here.