Do you have another day that you could do the tea?
If not, and if your heart is set on all 3 (which I can understand) then you might want to try to make CP earlier and the GF Tea a bit earlier, too. That way you would have more time in the park.
If you can't change times, I would probably drop one of them in the evening, because I think that by the time you get back to MK after the tea, you will be basically unable to do much before you have to arrive for the dessert party.
No matter what you decide, I'm sure you will have a fabulous time!!
When you get back, post a review of the Tea, I'd love to hear about it!