That is Bickham Script Bold.

I'll add that the designer chose to monkey with the glyph selection and that is why the connections are not working.

For the date, it looks like MT Engravers Bold

Miss Tiffany, I know this might sound like an ignorant question, but isn't that set of alternate swash caps really not meant to connect? Or am I missing something?

You are right, but they didn't use the features completely. They turned on swash but not contextual alternates thus leaving the entry strokes. I suppose this is a matter of taste and opinion. ;^)

1. Out of the box
2. Swash feature; z has calt turned off to keep the loop.
3. Swash + calt; z has calt turned off to keep the loop.

I should add that my first statement was off-the-cuff. So I do apologize for that.

Oh, I didn't notice the entry stroke! Thanks for clearing that up. :)