Hi Candy,
Thank you for your interest in Aspose.Words.
1. Drop Caps in MS Word are represented using Text Frames. Unfortunately, there is no way to get Text Frames from the document using Aspose.Words, though Aspose.Words preserves Text Frames during processing the documents and during converting between different formats.
2. I think, you can use ShapeType to determine style of your WordArt objects. Please see the following link for more information:
http://www.aspose.com/documentation/.net-components/aspose.words-for-.net/aspose.words.drawing.shapetype.html
3. If you would like to find all Textbox shapes, then you should just get shapes with ShapeType equals ShapeType.TextBox.
Please let me know if you need more information, I will be glad to help you.
Best regards,
Alexey Noskov
Developer/Technical Support
Aspose Auckland Team