Hola,
I'm somewhat confused by your statement about how you intend to enter on an L1 visa. By this it is assumed that your father has office locations both in India and the US.
If this is indeed the case then the L1 visa (in either the L-1A Management or L-1B Specialized Knowledge Worker capacities) would permit you ONLY to work for your father's business and nowhere else and any other employment could lead to deportation and refusal of any future entry to the US.
I hate to sound alarm bells so early here but the US is deadly serious about immigration with
ICE raids becoming decidedly more common.