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Hi @Inna22 ,
don't call airbnb concerning this matter as You won't get anywhere with them.
I suggest You send a message to Your guest through airbnb:
"Dear guest, as You told me You have encountered some minor problems in my place. I have offered to fix the issues, but You have denied entry. I also offered You to leave the listing and get a full refund, but You refused. Pls note there will be no discounts at all to Your rental price after check out.
Talking about check out, pls mind the regulations as stipulated in the airbnb TOS:
"8.2.2 You agree to leave the Accommodation no later than the checkout time that the Host specifies in the Listing or such other time as mutually agreed upon between you and the Host. If you stay past the agreed upon checkout time without the Host's consent (“Overstay”), you no longer have a license to stay in the Accommodation and the Host is entitled to make you leave in a manner consistent with applicable law. In addition, you agree to pay, if requested by the Host, for each twenty-four (24) hour period (or any portion thereof) that you Overstay, an additional nightly fee of up to two (2) times the average nightly Listing Fee originally paid by you to cover the inconvenience suffered by the Host, plus all applicable Guest Fees, Taxes, and any legal expenses incurred by the Host to make you leave (collectively, "Overstay Fees")".
Check out is at 11 am. I will personally be there at 11am with my cleaning crew, they charge $50 an hour.
Have a nice day."
Then You go there at 10am and watch how many people are leaving the place and if they have luggage. I'm sure You have a camera.