1. Unfortunately, Reader is out unless they have added fillable form fileds for you to type in.
2. Hard to say. What do you have? I suppose if you haveAdobe InDesign or Illustrator, you could place the PDF in a new file and use their text tools to add text where you need it.
3. I wouldn't do that unless they say that it is ok. Maybe it's worth giving them a call.
All of that being said, if you just need it for this one time, Adobe offers a free fully functional trial version on their site for Acrobat. You could download and install it, add form fields and fill them in. The trial is good for 30 days.
I sometimes run into a similar situation, with PDF forms created incorrectly (unfillable).
What I do sometimes in such cases; search Google for a free online PDF-to-JPG conversion tool, then use an image tool (e.g. Paint.net) to write into the JPG file, and print it.