Landlord is asking me to repair kitchen counter top

[Krishna Chaitanya gadhiraju]

Hello All,

I am moving out of the place in a month and Landlord is asking me to get the kitchen counter top repaired or replaced (pictures below). He says, I have damaged it because of water. I wasn't sure what to do because the replacement of it might cost more than my security deposit. Can someone please help me. I live in NJ. Handyman also suggested that this could be because landlord didn't put the proper cover surrounding the sink. 

Thanks you!!