If you're in the US, laws vary by state, so you need to check the homeschool law for your state. What is legal in one state may not be legal in another.
you cant sign someone elses name.
carfax
only if the urine is someone elses
Not if it was done in an effort to defraud.
You do not need a "Basis" to choose home school. It's legal in every state for any or no reason.
No, actually. It's not only illegal, it's also very inconsiderate.
In most jurisdictions, the answer is no. Usually legal only on private property. (ie: your own or someone elses with permission)
Yes. Many people homeschool their children. They need to register the fact that they are homeschooling, as there are certain legal requirements that must be met. For more information on the requirements for homeschooling in Australia, see the related link.
No. Whoever's name is on the title is going to be on the registration and insurance also. You can pay for the car and title it in somebody elses name, but at that point you've given them a free car, because you have no legal rights to the vehicle at all.
No. Unless a "fair use" exception applies use of someone elses copyrighted property without permisson is the definition of copyright infringement.
It all depends on where you live. In the US, Canada, England, and many other countries, homeschooling is legal, although the requirements are different. You will have to check your local laws and see if you can homeschool.
Yes, it is perfectly legal to do so. In fact most products that are on-line offer a download or printout version of the ToS of said product ;)