I love both the title logo and the bear-hand art. Unlike Mel, I was first drawn to the bear-hand symbolism. What a great idea!
I'm not very fond of the font you used for "Liars in Love" on the front cover. I don't know what it is exactly, but it just doesn't mesh with the rest of the art on the cover. Maybe it needs to be smaller, I'm not sure.
I prefer the first back cover, but I think the copyright information either needs to be made MUCH smaller (so small you need to squint to read it) or taken off the back completely. If you can, consider decreasing the amount of green space, and lower the font size.
I also agree with Mel that you need to widen your leading for the song titles. Whenever you have a letter with an over-hang, it nearly runs into the letters from the song underneath it. Even if you have to lower the font size, an increased leading will do wonders for read-a-bility.
You could use the second back cover if you aligned the text to be justified the same for both columns. I really don't like the look of the gutter the way it is now.
That said, the covers do look really nice! Like I mentioned earlier, I love both of the logos!
edit: this might just be me, but I think it would look really nice without the off pink/flesh coloring and with plain white instead