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Re:USCIS Completes the H-1B Cap Random Selection Process for... by Synroc on Monday April 13, 2015 @08:37PM (#9371409)
I like 2. and 3. Could I do 3. while doing 2?
Re:USCIS Completes the H-1B Cap Random Selection Process for... by kghose on Tuesday April 14, 2015 @04:43PM (#9377195)
Yes, as far as I know the lottery is independent of anything else, but you should check the USCIS website and consult an immigration lawyer.

Be careful with the lawyer: try and get one through a recommendation of someone you trust who has used their services. Because of the high demand for immigration into the United States, there are many unscrupulous people involved in such matters.