Help with Google Search Console

I am seeing some weird URL's inside GSC, and dont know how to address it. looking for suggestions

under "coverage", I have a few excluded URLS, when I drill down to look at them, they are URL's that do not exist on my site (and never have). Since they are 404's, I have them redirect back to my homepage.

but why is google even listing them? (my site has nothing to do with smoothies lol

mysite.com/smoothie/images/news.php?page=camille+donatacci&check=3177cce70f2ab074d04d9704e9955e4a

mysite.com/smoothie/images/page.php?page=happy+father+s+day+in+spanish&check=476e9b67293f0a5422b775c2b010573d

and so on

how do I tell google search console to delete them, and how could they have even gotten there

any help is appreciated

Are you sure there is no such location on your domain root ?
check htaccess
and tell bots in robots.txt to ignore those pages.

that is the only thing i can tell without seeing your site.

There's a big chance that GSC has made a mistake. In my experience, it often reports stuff to be broken and it isn't. If you have done everything correctly there's no need to bother with these errors.