Is it because of my busted speaker?

I busted my right front speaker in my 2011 Honda Cr-V playing music from my iPhone. Now everytime I connect the aux cord to my phone, the music is extremely low volume (the radio sounds better), and is very distorted. Is this because of the busted the speaker? What is wrong? Can it be fixed? If so, how much would that cost?

I don't know what the cost would be but it sounds as though the speaker is bad. It would need to be replaced. The cost will vary due to the price of the speaker itself and the labor to replace it.

There's a tiny chance that the speaker may be covered by your bumper-to-bumper warranty. It wouldn't hurt to ask.