Do I still own a logo that I designed if I was not paid for it?

This gets a little chewy and it has several moving parts. Being you made the logo for her and without any written agreement it would be considered...

Can I sell soap with cartoon characters like doraemon or Mickey mouse ?

No, not without a license. That is likely problematic under both copyright as well as trademark law. If you need clarification, I suggest that...

There is no cost to file the express abandonment. It does sound like you might need to some legal advice on the broader issues here however, so...

The very specific terms of the license would need to be vetted. Before you make any commitment, I suggest that you consult with a lawyer in...

I want to create my own cookbook with ideas from a meal plan I follow could I get in trouble ??

The context matters and that is not entirely clear for me here. The recipes themselves are facts and therefore are not protectable under copyright...

The context matters. If you are in a public place where there is no expectation of privacy then there is no reason you cannot take photos and if...

Can I rewrite the lyrics to a known song and use it in a short promo video?

It's an infringement. The odds that anyone would take legal action over something like this are really slim to none. They are likely never even...

Can I adapt a novel to a script without permission as long as I'm doing it for a class and will not submit outside of the class?

If this is only an academic exercise I would not be concerned. But if you plan on using this for any other uses whatsoever it can be a big problem....

If the names are likely to cause any market confusion then you may have a problem. Before you invest in any trademark make sure you get some...

How enforceable is this Cease & Desist?

We can't really say anything helpful here. You need a proper evaluation. Before you respond in any way, I suggest that you consult with a...