1. Usually if you do an H-1B transfer or if the I-140 is revoked that becomes their source of knowledge.
2. Absolutely, the regulations only require that when asked, you should be able to produce an offer of employment for the same or similar job and file Supplement J. This is only when asked.
3. If you have a I-485 pending you are always allowed to stay in the United States, but make sure that you have an EAD.
4. Normally an H-1B denial has no effect on the Adjustment of Status I-485. FAQ in detail...
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