His card is the old kind with no expiration date. USCIS has recommended that LPRs renew their cards to the 10-year variety. The people you called at USCIS (INS) -- was it the customer service number? They don't always tell you the correct thing. I don't think you'll have a problem reentering with the old card, but make an Infopass appointment and speak to a live clerk at the counter.
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I agree with my colleague.
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I think he is OK with a card from 1982, but I would suggest taking the card to the USCIS on an infopass appointment and asking them if you are worried. That way you will not have trouble traveling.