Current visa bulletin has two tables, F2A date is 01MAR15, our priority date is 9/30/14, should we apply for adjust. status?

You need to read the instructions carefully. The new procedure allows to file for adjustment before the priority date becomes current.

Approved PERM/I-140. How will changing employers impact H4-EAD under the below outlined three scenarios?

I think it is the best you can do: to consult with an attorney in person regarding the provided scenarios.

Not until you either obtain a permission to file for admission or "serve" the 5 year bar.

Immigration.

Your US citizen spouse has to petition for you; you need to file for adjustment of status; you need to show you will not be a public charge, etc.

If my father applies to the GreenCard Lottery and wins, Do I have all the privileges of the Green Card being his son?

It depends on your age. You need to be your father's dependent.

Could I adjust my status and what files do I need to fill out to adjust my status.

Nobody here would know this. It depends on your current status and if you will be in status at the time of filing for adjustment, and sometimes...

Can my husband become a permanent resident? Will he have to leave the U.S for 10 years?

I am pretty confident he will not be eligible for the I 601A. Using different names does not make any sense to me, since one cannot change their...

What happens is your Deferred Action for Childhood Arrivals gets denied?

It depends on the reason for the denial. Usually, nothing happens...the applicant will have to find a different way...

Do we have an option to request a desired start date in the L1 to H1 Change of Status?

It depends on your employer's position. I am not sure what your situation is, but I would think you need to talk to the attorney who is processing...

H1-b problem

You 'can trust" your employer after you see the documents. It should not be difficult: notices for RFE, acceptance receipts, etc. Then you decide...