If you signed/agreed to the second package, you are entitled to it: if they don't pay you the full amount, you could sue them for "breach of contract" for the extra money.
Assume a NJ lawyer will charge you at least $1,000 and possibly up to $3,000 for the lawsuit (I practice in NJ, so I am familiar with NJ attorney billing; there is a wide range, however, and you could "price out" different lawyers to get a better price). If 5 weeks of your salary is worth paying that amount to increase the odds of winning (since you are more likely to win a lawsuit with a lawyer than without), hire an attorney. Otherwise, you may wish to act as your own attorney or "pro se" and bring the suit without a lawyer. If the amount (i.e. 5 weeks of salary) is $3,000 or less, sue in small claims court--it is easier, cheaper, and faster.
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