No the capacitors used for the audio path should not be ceramic.
Yes, some degree of noise is normal. You can minimise it by using proper components and proper layout and supply decoupling. Still not see your schematic or a picture of how you constructed it.
Up to you, do you want to minimise the noise or not? Your choice.
Soldered exactly like here https://youtu.be/3aPEeiJjQXs