Regarding both herbs in question, I meant that they came back from last year. Usually, everything dies after the winter, and I need to buy new plants or start from seeds. I arrived at the family garden Thursday night, and to my surprise, I found two plants in the area where I plant herbs. I have confirmed that the herb from the second picture is indeed oregano. My brother used some to help season potatoes, and the taste was recognizable.
I am still not 100% sure what the herb from the first picture is. I put some on my hamburger last night and to my disapointment, it didn't add any flavor.
To add to the evidence, the oregano from last summer was still around New Year's Day, but all of the herbs had died off.