Yes, as long as the video is only intended for home purposes. If not, then you need permission.
Not without a license.
Actually "Welcome Home(Sanitarium)" by Metallica has not a music-video.
Yes, there is a Home by Three Days Grace music video.
Home by the Sea, a video recorded by Genesis can be viewed online for free on popular sites like YouTube. Alternatively you can purchase the music DVD at music stores or Amazon.
If it's not stuff that's is Copyrighted and is made by someone else, yes!
Yes
at your home- yes at their home- no
You tube has a copyright policy which states you must own (or have permission) the copyright to videos you post. If someone posts video which Sony owns without permission (a contrevention of the copyright act) Sony can request it's removal in accordance with Youtube's copyright policy. This policy also applies if you make a home video that has copyrighted content in the background.
'''Depends what the home video is linked to. if it is a topic about for eg. singing then maybe. it also depends on how you present your video and what content is based within it.'''
Cindy Crawford
More Than You'll Ever Know, Travis Tritt
No unless its someone you don't know (STALKER) but if someone you know that you actually know their taping you yes.