K., I have to admit, I'm laughing a bit at your question. : ) Not at you, though! I'm laughing because it really is hard to tell sometimes, isn't it? My son is nearly 3 and he has LOTS of "3 or nearly 3" friends we're around frequently and I can totally relate!
What may be causing these episodes is her inability to accept change. Maybe you (and the other adults in her life) can help her adjust to these transitions by announcing "After we finish breakfast, we'll brush our teeth, put our shoes and coats on and then we'll get in the car to go to day care". Or try a Morning Chart with pictures (bowl of cereal and fruit, toothbrush/paste, shoes, coat, car, school) that she can adhere stickers to when it's done.
The daycare provider can gear her up for your arrival about 15 minutes before you're expected, then you can have a little laminated sheet in the car for what she can expect on the way home. For the time being, I'd limit errands on the way home until she can more calmly accept the "regular" transitions. Sometimes just getting in and out of the car seat frequently can be more transition than little ones can accept easily.
I saw the idea for a super cool laminated Evening Chart in Parents magazine. If you subscribe, take a look at the last 2 issues. If you can't find it or don't subscribe, let me know and I'll give you more details--it was an awesome idea and really helped this woman with her son's night time routine.
D.