It's called: trying to buy back your DD's love with THINGS, not real relationship love & trying to drive a wedge between you & your DD.
I would call DD's counsellor immediately & try to get her in earlier than the appointment so DD can just talk through her feelings. I would also call your lawyer & let him know what your wife is doing. There may need to be some new rules set until the divorce is final.
Ok, your wife is using all this to impress your DD & try to win her over through confusion & dress pretty & new SUV???? Maybe she just rented it for a day to impress.....may not really own it. Promises are empty words until fulfilled. Definitely wouldn't trust her farther than I could throw her. Sounds like all lies & manipulation not reality