Here is a sentence that contains both words:
This one is using counterpoint as a music term. Believe me, if instruments aren't playing together, a counterpoint sounds like a mess.
Having a counterpoint in a song can have some drawbacks when instruments miscommunicate on rhythm.
A sentence only containing drawbacks:
Was watching a video on this content. Seriously though, colonizing mars is cool, but there are so many problems with getting there and living there we just haven't solved yet.
Starting a colony on Mars sounds cool, but the many logistical drawbacks make it a difficult task.
A sentence only containing counterpoint:
You know, thanksgiving just happened, so I made one just for the holiday!
The rich whipped cream was a delicious counterpoint to the delicious pumpkin pie.
