yes
see links below
for what?
no
no
if the NCP has some source of income, such as unemployment (but not SSI or public assistance), or substantial assets ANSWER But you should negotiate a reduction and file it with the courts
Whose name is the phone in?
NO!
yes
no
no
Generally, no.
Yes, it can. Moving in with the other parent is grounds for "flipping" child support payments. However, this must be done by court order.
If you're the noncustodial parent, you might be liable. The fact that your husband has a child by someone else is irrelevant to this.