It seems to me that you do need to show you intend to show up to work for your h1b employer or they do not need to admit you into the U.S. But...

No, doing work online would constitute unauthorized employment at this point in time in the U.S., and may violate your status.

You cannot be admitted as an F1 if you are not coming to study in the U.S. You should get an H1b to return to the U.S.

You can indicate that you are the preparer and you could indicate that the address of your child is in care of your address.

You can try to get another tourist visa, student visa, or some other type of visa. You abandoned your asylum status.

It could be an issue, but you may wish to file anyway unless you never want to naturalize. There is little or nothing you can do to fix the problem.

You could try to extend their status until the visa is available, or you could have them return to their home abroad and wait. If they are...

If you can show that the business has enough profits now to cover the annual salary for your relative, you can do it. Of course there must be a...

Yes, two DUI's will prevent you from showing good moral character for at least the next five years. You can try again after that.

If you ported to company C and that H1b is now approved, you must begin working for company C now. You must withdraw from company B.