Gia, I think you have a bit of confusion going on. First person is the narrator using I and me to tell the story. The tense can be present or past.
Present tense, first person: I hurry, but I lose sight of him in the crowd. "Excuse me, excuse me," I murmur, shouldering aside office workers. Is that him rounding the corner?
Past tense, first person: I hurried, but I lost sight of him in the crowd. "Excuse me, excuse me," I murmured, shouldering aside office workers. Was that him rounding the corner?
If your narrator uses he/she and him/her, then it's third person. Again, it can be present or past tense.
Present tense, third person: She hurries, but she loses sight of him in the crowd. "Excuse me, excuse me," she murmurs, shouldering aside office workers. Is that him rounding the corner?
Past tense, third person: He hurried, but he lost sight of him in the crowd. "Excuse me, excuse me," he murmured, shouldering aside office workers. Was that him rounding the corner?
Maryn, hoping that helped