H Visa

An H-4 visa holder operating a small business in India from the U.S. could potentially violate their visa status, even if earnings are in Indian rupees. At the port of entry, honesty is essential—lying could lead to a permanent U.S. entry ban, which is hard to waive.

While it's unclear if this constitutes a status violation, it’s a borderline case. To avoid risks, it’s advisable not to engage in such activities while on H-4 status.

Yes, L-1A holders or applicants can also apply for the H-1B lottery. Filing for H-1B will not impact your L-1A application unless there’s a discrepancy in the job descriptions for the two applications.
Additionally, if you’ve worked outside the U.S. for at least one year in a managerial role, you can transition from H-1B to L-1A later.
 

You can file multiple H-1B transfers simultaneously, and it's legal. Approval of one transfer doesn’t obligate you to join that employer, nor does it affect your existing H-1B status with your current employer. You can choose to join any employer whose transfer gets approved, provided all transfers were filed while you were in valid status with your current employer.
However, if your H-1B validity is close to expiring (e.g., within 6 months), later-filed transfers may require "bridge petitions" to maintain continuity of status. Consult an immigration lawyer to ensure proper handling and avoid complications.