I used React & Tailwind but I'm sure you can accomplish the same with HTML & CSS. Instead of using an image tag for the check mark put the SVG inline and remove the fill="#000". You should then be able to target it with your CSS class. Here's an example of how I did it.
<svg width="12" height="12" xmlns="http://www.w3.org/2000/svg" className="ml-2 transition-colors group-hover:fill-[#A4FFAF]" > <path d="m5.106 12 6-6-6-6-1.265 1.265 3.841 3.84H.001v1.79h7.681l-3.841 3.84z" className="fill-current" />