How can she obtain a legal status since she ain't married yet, mom has a green card stepfather is a citizen, she got 2kids

When she originally entered the U.S., did you she enter the U.S. legally? That is a critical point in determining her options.

Should I be notified if there is or was a bed bug problem??

It does seem easier to just ask the landlord.

Does the landlord HAVE to take my payment when I offered it, and refuses any other type of payment as well?

So did you abandon the lease and are now trying to come back?

Does our landlord have to void the stipulation agreement because he accepted payment from us? The sheriff posted notice yesterda

You can try to further negotiate with the landlord but it seems like you should find another place to live that is less expensive.

Can I make my roommate still pay utilities?

What does the lease say about how utilities are divvied up?

What steps do I need to take to get him out of my house?

It's not that he has possessions there it's that you have let him live there - he is likely considered a month to month tenant.

You can but you may want to think about how not having the completed fellowship may affect your future employment possibilities.

Where do I send my reconstructed I130 petition?

Ugh this happens sometimes and its very irritating to be in limbo - file the 824 anyway.

Spousal Adjustment of status- what is acceptable as proof of Income, and entry with inspection?

You can leave that section blank but typically you can download your I-94 from the CBP website.

Can I move to J1 while my change of status application to B1 from non profit h1b is under processing?

Were you subject to the two year home residency requirement?