Unfortunately this sounds like standard behaviour for many when trying to get a routine of contact established - jealously (that you're seeing someone) and trying to still be in control are part of parcel of co-parenting sometimes.
Although it's hard I found the best thing was to only reply to the actual issue eg meet at park and not be sucked in by the rest of the message eg how you look, who you are seeing etc. Short, to the point, respond to key question but then switch off.
If he really wants a relationship with your daughter he will eventually take your lead and just message about whatever the real question is.
Good luck - and keep posting! this place is great to rant and get it off your chest!]