13 by 13 is a small room... After the king size bed, dresser and tv go in, you may barely have room for a microsub such as the KEF KC62. However, It is a more technologically advanced sub that’s better for small room music than your subs listed above (will integrate better, more extension, etc). It is twice the price, of course.
A subwoofer that can’t get down below 20hz is not a subwoofer, just a woofer. Higher standards is key!