In theory, you can. But I will advise you to wait for your Green card. Because then with the I131 the immigration officers might not allow you to reenter. So do not take the risk.

You don’t need the EAD to travel, you just need the advance parole. Yes 2 cards with separate EAD & separate advance parole is exactly the same as combo card. Again, EAD is a work permit, it’s not required to travel. So you have a marriage green card application pending? Traveling with a car involves the same procedure as traveling with a plane & you will need to clear CBP. So the answer to both your questions - Yes & Yes.

@Kanye East yes we have a pending marriage green card. I only received the EAD card bottom left corner says “ serves as I-512 advance parole”

@Kimberly mendoza Thats the combo card 😆

so yes you can travel with that card