first off: NEVER answer a "day Care" call or text on personal time, UNLESS it will not disrupt of offend current company. Maybe next time just leave the phone at home or in the car, that way the text wont bother your curious brain (like they do mine)
second: any parent who has not read your contracts after having several meetings...is not going to respect you as much as you want. (think about it, if she really "cared" she would have taken them home and read them right away if not at your home)
note: I ALWAYS have the parents sit at my table with the contract in hand, I inform them I would like them to go over them and read all while I take their child in the living room and play for a bit, I give them sufficient time to read, them immediately sit with them and go over one section at a time. (that way, you nip issues in the bud, and all their facial expressions say it all, (texting is for minor communication not BIG issues IMO)
The emergency pick up (i think) was just misunderstood, just let her know that ANYONE who is to come into contact with her child must be RECORDED by her and CLEARED by her first, before pickup...ALWAYS!
The sunscreen? ahhh! as much as it IS a pain, I completely understand some issues regarding the use of certain kinds, some sunscreens have pretty funky chemicals, and it is her right as a mother to choose what goes on her child. however, she could mark the tube with her kids name or better yet, I ask parents (if they know it will be a sunscreen day) to give the child one application before drop off, to better ensure it gets on, (some days can be hectic) and it helps keep the parents responsible (so easy for them to shift responsability on us, not thinking we have like 5 others to lather also) even if its on for 2 hours before outside play, it still provides coverage. just get a signed release for her brand and make her happy. however, this could also be her way of getting you to bend over backwards for her, starts with sunscreen then moves on to all other kinds of things.
How old is this kid? 3? hmm, I understand the teeth brushing, and it can be a pain, so do a quick once over on her teeth after lunch and call it good.
You have reason to have "RED FLAGS", I would too, do you have a one month "trial" period? you may want to remind of that, and posibly use it. This one May Not be a "right fit" for you.
The payment: I have all dif payment arrangements with all my parents, however the ONE requirement I have is they have to pay before care is provided, I allow for one grace day and have a 25$ late fee after that. They all must pay within the first two days of each week! although most pay by the month or every two weeks (before care is provided) maybe it would have been a better approach to ask for two weeks in advance rather than get pd and ask for the next weeks pay a few days later. (you live and learn in this job)
lastly: and most important, IF that Mom does not give you ALL required signed forms DO NOT take her child back, she may just be playing a game, or worst case, biding her time until she finds other care because she needs care but doesnt care for your contracts. either way...cover you butt. GOOD LUCK!!