Can I put in my lease that tenant who cause bedbug infestation must share in the expense of an Exterminator?

I agree - you would need to figure out how you would prove the tenant did so in order to have it enforceable.

Can this realtor charge me an extra day's rent when the contract specifically states March 31, 2016 to March 31, 2018

We would need to see the lease to see if the provision is acceptable.

You have the right to request the papers.

Can a landlord refuse to accommodate me while I don't have a place to cook for three weeks and force me to "eat out".

As usual, Attorney Moss is absolutely correct - keep receipts of your expenditures.

I want out of this place ,Is that possible with my lease not being up until August?

Attorney Pendergraft has given excellent advice and you are encouraged to follow it.

Can I legally get my landlord to lower my rent?

If you are month to month then you probably only need to give 30 to 60 days notice - that may be your best/easiest option at this point.

How long do I need to pay for a hotel room for the tenant? What are my next steps to finally rid myself of this headache? HELP!

Attorney Layni has given excellent advice and you are encouraged to follow it.

Is he in the U.S. already? Can he apply for asylum?

If Stem Extention approved in July, 2016 and H1B in October, 2016, what will be Status whether Stem Extension or H1B ?

H-1Bs automatically take effect on Oct 1 provided the person's change of status was approved.

Should my daughter's application be approved to be mailed first? or this message to prepare for Ref?

It may be for an RFE - you can call USCIS at 18003755283 and ask for clarification.