No, for head of household you must have a qualifying child as dependent and must pay more than half of the expenses for your home.
NOPE, you are NOT providing MORE than half the cost of providing a home for yourself and child!
You should let your parents take your child. If you earn less than $3600, your parents can take you as a dependent also. You are NOT supporting yourself or your child from your posting-- they are--and they deserve the tax advantages for their support.
Absolutely not.
You have to be single and the sole provider for your child,including a place to live.
There can not be any other adults in the household.
Sure doesn't sound like you can file as head of household - you aren't paying half of the cost of maintaining the home for your child, your parents are.
To be head of household you must pay for more than 50% of the household support and you do not. Not even 50% of your own support.