Audison or JL Audio?

Your stereo will output 22 watts rms per channel regardless of the speakers you use. The speakers spec so close to each other, you'll have to listen to them to tell which suits you better. They handle 60 rms watts, both brands. Though both brands bottom at 60 Hz and top way up where only a dog can hear and no musical instrument plays, they should both handle all the stereo throws at them- all 22 rms watts.

Coke or Pepsi ? Both are very good but what it comes down to is that those particular the Audison's can handle twice the power of those particular JL's so it depends on whether you plan to install an amplifier or not. The Audison's would definitely be massive overkill and a waste of money if you aren't. For loud, distortion-free music it is highly recommended to add an amplifier because any head unit is low power [yours is 22 watts rms per channel ] and can cause signal distortion at high volume levels - distortion that can quickly destroy expensive speakers.