@John-and-Jackie0
This is an interesting situation and one you may be able to prevent - next time. Your house rules clearly state 'no parties' and I think that is an acceptable requirement for any listings and booking. But making sure your place isn't trashed by a party is harder to police once the guests are in place, and certainly a large group of unrelated adults staying would increase the odds of this happening.
The students have a point and it could be perceived that you were discriminating - besides the tick box 'not suitable for parties' there is no mention in your listing of family preference etc - just that your house can occupy up to 10 guests.
So - how to safeguard your property from this happening in the future and reduce the risk of damaging parties?
I would suggest you try by changing some details in your listing. If you would prefer families - either one or two sharing - then state a maximum of 4 adults staying and charge $250 per extra person (put in that box in the pricing section). This additional charge (which you will not ever activate) will put off any large groups from booking. And to encourage families, in your description you can add that there is no extra charge for children under the age of 17yrs accompanied by a parent in the booking ( to cover yourself from too many kids, you should state a max number of children - just in case the Duggan family requests a stay!).
So there are ways around this problem. - Personally I do think you should be able to invite or encourage the categories of guests your property is best suited to. It should not be discriminatory to want to avoid your property being trashed by a group of single young people. So protect your property by setting your listing up to encourage the right groups to apply.
Try it out and let me know if you want another look over of your listing description.
Your property looks magnificent - and you are including a lot of extras and equipment for guest use (you do know that it will be very difficult to claim for any loss or damage of these items through Airbnb..... even with a security deposit.... but that is another post/problem for another time!)
Best Wishes.