I don't know who would come out and fix it or what they would charge. Once upon a time you could bill at $50-$100/hr and it was still cost effective for the customer.
I looked on youtube and found your printer but nothing that sounds like your problem.
Are you using windows?
go here
Search - HP Support Forum
Can you connect the printer using a USB cable? Give it a try. Print a test page using properties.
"But if I use just the copy function the paper does feed." It doesn't sound like a mechanical problem, does it.