USB stick? the entertainment industry provides an excellent source for the distribution of 1-time pads, just agree on some particular stream/CD/DVD/etc ("number 27 on this week's top 40") and use the LSBs in some agreed order
There are recurring patterns in a video or audio stream. More often than not these coincide with recurring patterns in the message, revealing information. For the sake of an example, take some pages of a novel as the one time pad. There will be statistical variations (not all ciphers in the ciphertext come with equal frequency) in the ciphertext, where the combination ocuring most will correspond to an "e" in the plain text and an "e" in the one time pad because both occur most often in English language. You can calculate the probabilities for each combination and thus deduce the plain text provided it is long enough. For a one time pad to be secure it must be truly random or pseudo-random.
As a way out you can agree to a seed to a secure pseudo random algorithm but that's commonly called a password or pre-shared secret. In fact it's more secure to use just the string 'The Nth 4096 bits from this week's mod(N,100) top video on YouTube' as pre-shared secret.
Maybe, but I wouldn't want to rely on it. I don't know anything about real world music encodings but for the analog signal you have zero-crossings at fairly regular intervals.