Now, the problem is that, while the client likes this, they don't like that the headers and footers are grayed out and the colors are not as vibrant in Word as the program part I created and saved as a PDF.
They're being a bit impractical in their complaints, in fact they remind me of my Dad! The final product is still fine.
They also don't like that if we keep this as a Word document, all the text is editable.
That's fair enough, the solution would be to make the text in the header and footer an image instead.
So my question is, can I create a PDF that has the same features with the expandable text control boxes. If I can, would you recommend InDesign to do this?
No you can't. I'm pretty sure you can't create a PDF with expandable boxes and I'm very sure that you can't create a PDF that will add pages with headers and footrs. However you can create a PDF with basic fillable text boxes, they're called forms and you need Acrobat as well to do it, google it and you'll find plenty of info.
they don't like that the headers and footers are grayed out and the colors are not as vibrant in Word
In Word, headers and footers and even watermarks will always have a transparent effect. Instead of placing art on the header and footer, you could format background with fill effects and select a picture, this will not be grayed out (transparent). The background picture would need to be created as the full size of document.