Check Box jquery Issue

Question

I have the below javascript code & whenever the user selects the checkbox in the UI, it does not retain its checkmark in the checkbox. I tried HTML & ASP checkbox both . Also if the user unchecks then how to not perform delete operation. Because as soon as the user checks it hits to delete. Checkmark retains in the checkbox should be a must for users. Please help, Also if there is any other descent way of writing /Deleting jquery method with check box, please write?

 

Thanks