再问863211，有关 H1B vs EAD, 如何决定哪个用身份？

CASE:

I have both H1B and EAD, both are valid.Initially I prefer to keep my status on H1B since it still has two years to go ... I received my EAD this May. When I traveled back to the US later by air, I used my H1B，and presented it to the border officer. He didn't say anything, and gave me H1B stamp on my passport. However, yesterday when I came back to the US by car, the border officer said the systems show I have an EAD/AP card, and he insisted that I had to enter the US using my EAD/AP card instead of H1B. SO he took my I-94 card away, and let me in. I asked him why the border officer at airport gave me H1B status? He couldn't understand it, and gave no answer to my question.

QUESTION:

Which status should I use in the US to my best interest? For example, if I want to get married before GC is granted. Can Ｉre-enter the US using H1B? Or from now on, I have to stick with EAD until I get my GC?

非常感谢！