If a dog is hit by a car and the owner doesn't know how long does the vet need to wait to dispose of the body

Collar and tags? Microchip? You were responsible, not the vet.

We sold puppies without a written contract. At 7 months old one buyer reports problems with the puppies hips. Are we liable?

You likely are not on the hook. Google "Delaware puppy lemon law"

Dit dit ditto

Is it legal to create fake user's and create content under those user's names to encourage sign ups and activity in a website?

Probably not legal, strictly speaking, but who is being harmed?

Will a verbal contract hold up in court ?

Send him money to repay him? You owe him SOMETHING, don't you?

Am I being rightfully sued?

Let's say that you do your own homework.

I sold my car in oregon but did not disclose the amount i was paid in 2 checks the last one was stopped and the person wont pay

The courts will not appreciate her attempt to defraud the DMV by showing "proof" of the amount of the sale when registering it.

Can a contract for online training be cancelled or terminated if there is no earnings/income disclaimer?

I think you are stuck, but see what they do if you stop paying? Or take the contract to a local attorney to read and analyze.

What do I do when Manhattan West hotel charged me a smoking charge, but we never smoked in the room.

Duplicate question.

What do I do when Manhattan West hotel charged me a smoking charge, but we never smoked in the room.

Call them? Dispute the charge with your credit card company.