My question is did Lucifer have another name when he was in Heaven before he got kicked out?

He has different names in scripture like Beelzebub, Abbadon, Apollyon.

In Ezekiel Lucifer was referred to as the anointed cherub before his fall.

Ezekiel 28:13-14  Thou hast been in Eden the garden of God; every precious stone was thy covering, the sardius, topaz, and the diamond, the beryl, the onyx, and the jasper, the sapphire, the emerald, and the carbuncle, and gold: the workmanship of thy tabrets and of thy pipes was prepared in thee in the day that thou wast created.  Thou art the anointed cherub that covereth; and I have set thee so: thou wast upon the holy mountain of God; thou hast walked up and down in the midst of the stones of fire.

Good question,
Pastor Brad