I want my husband to leave my apartment for good

May be difficult if he is on the lease with you.

Separation aGreement question

Sure, there is no reason why the desires of your children cannot be incorporated into a separation agreement, especially an older child.

Can I legally separate from my husband?

You can file in NYC. I would rethink the child support as when you eventually seek the divorce child support will need to be part of the equation....

I filled for for a uncontested divorce in september of 2013 the court received or approved of the filling 1/28/14

I would go to the Court and speak with the matrimonial clerk. There may be a defect in your filing that is holding up the Court's signature.

Possibly. You would have to prove that the supermarket was negligent in providing security. Not easy to prove unless there is a history of thefts...

Last night i got burned on my right hand at work trying to clean the grill with no glove.

Most likely you can only bring a worker's compensation claim. Under NY law it is your "sole remedy" against your employer.