Thank you @Tim-and-Holly0 for your response it was very informative!
Just to follow up on this situation, the guest said on Saturday that he would pay for the little ginger bread man bowl that was broken. There was no money left at the apartment but that's small potatoes compared to the big ticket items.
The scratch is pretty bad; it's deep and long. Not sure how a ring can cause that. But the table isn't the only thing damaged...
The strings to raise and lower my venetian blinds were also damaged. The blind now sags and bunches when raised and can no longer be locked in place so is always down.
On top of this, the guest used the spare bedding I keep at the apartment for change overs then after using it placed it with the clean bedding so now everything needs to be washed, my couch was left with stains, my house rules say no smoking but there is ash on tables and window sills and filters on the floor (also in the common areas of my building). This is the worst any guest has left my apartment so far in almost 3 years of hosting. It had to happen eventually...
Now my questions are do I put in a claim before or after writing my review? If I put in the claim before the review I'm sure his review will be bad despite messaging me on check-out that "the apartment was lovely and we had a really good time!". Can his bad review be removed? How do I claim for additional cleaning fees when I do the cleaning myself? I've kept mum to him so far about my intentions to charge him for the damages his group caused as I know this will affect his review of me and maintaining my current rating is very important to me...
Thanks again in advance!
Peter