Photoshop displays text using its own Adobe composition engine, which is rather sophisticated. Because of that, Photopea probably does not display text exactly the same way. Also, Photopea appears to support web fonts only, probably because it runs in a web browser.
A or C, he would want to persuade people to buy his product to sell it. It could most likely be A.
They're probably looking for false, but to be honest, I use it in my writing sometimes. It depends on the setting and character, or it should be specified as slang in nonfiction writing.