Based on the level of respect or formality, you can say "Do you remember me?" in Korean in 3 ways:

• Informal: na-reul gieok hae? (나를 기억 해?), na-reul gieok hani?(나를 기억 하니?), na gieok hai? (나 기억하니?)
• Formal: jeo-reul gieok hasipnigga? (저를 기억 하십니까?), jeo gieok-haseyo? (저 기억 하세요?), jeo gieok-haeyo? (저 기억해요?)
• Very Formal: jeo-reul gieok hasipnigga? (저를 기억 하십니까?)

- you (subjective): neo (너), neo-neun (너는), dangsin-eun (당신은), dansin-ggeseo-neun (당신께서는)
- to remember: gieok hada(기억하다)
- me: na-reul (나를) or jeo-reul (저를)

Please refer to How to pronounce Korean Alphabet for the English pronunciation in this answer.