Not possible.
Again, not possible. For that you need an immigrant visa to enter the US with an intent to live here permanently.
You need file the regular way for a IR1 visa for consular processing, will take about 18-24 months, after which you can enter US as a Lawful permanent resident and work/travel right away.
If you qualify, look into DCF for faster processing. You’ll need an exceptional circumstance, most common is an imminent relocation of the US citizen for a job (need an offer letter as proof).