type of capacitor (0.01uf) for this circuit?
From my review of Practical Electronics for Inventors by  Paul Scherz and Simon Monk, I believe that the ceramic disk capacitor will be OK. You might want to adjust the footprint on Eagle so you minimize how much of the leads you expose, as that can introduce parisitic inductive elements.

One other thing I would really like to note is that ceramic disk capacitors generally aren't polarized. However, your Eagle layout shows a polarized capacitor. In addition, the picture looks like an electrolytic capacitor, which I believe may be polarized. If the application really calls for a polarized capacitor, you might want to stick to the original design.