If your Green Card renewal is late, you still can work and travel with the receipt notice from USCIS. This paper makes your Green Card good for 12 more months while waiting for renewal. But for travel, you need to carry both your expired Green Card and the receipt notice, or you might have problems when coming back to the US. I hope it helps.

Hello, I think that if your Green Card renewal is delayed, you can work and travel using the I-797C receipt notice, which extends your status for up to 24 months. This notice proves your lawful status while waiting for the new card.