No, neither of these scriptural references can infer the race of Jesus.
Song of Solomon 1:5-6 (RSV), “I am very dark, but comely, O daughters of Jerusalem, like the tents of Kedar, like the curtains of Solomon. Do not gaze at me because I am swarthy, because the sun has scorched me…” The Song of Solomon is symbolic of the love between Jesus and His Bride, the Church. Some suggest the bride is very dark or black because she has been laboring to preach the Gospel (the sun symbolizes the Gospel). When we preach, we may be persecuted (scorched) similar to the way the Jewish leaders persecuted Jesus.
The “tents of Kedar,” refers to Bedouin tents. On the outside, they were black, but inside were hung beautiful tapestries and furnished with silken furniture. When Kings traveled, their tents were black.
In the Bible, sometimes “black” shows favor. Recall that the outside skins of the Tabernacle were black. The Queen of Sheba (picturing a dark-skinned woman) traveled hundreds of miles to see Solomon (Jesus). Finally, the hight priest wore a breastplate that was suspended on black onyx stones hung from his shoulders. The black stones may illustrate that the Church will always recognize their humble origin on Earth.
Revelation 1:15 (NASB20), “His feet were like burnished bronze when it has been heated to a glow in a furnace,…”
“Bronze” is Strong’s word G5475 translated as “Brass, Brazen: primarily, “copper,” became used for metals in general, later was applied to bronze, a mixture of copper and tin…” The color varies according to the composition of metals.
Jesus’s feet looked like bronze, which were heated in a furnace until glowing hot. This metal is a symbol of perfect humanity. Jesus as a perfect man on Earth endured great persecution. He humbly walked through fiery trials in a furnace of affliction. Jesus was “despised and rejected by men, a Man of sorrows and acquainted with grief.” (Isaiah 53:3 NKJV)
Thus, our Savior can sympathize with His consecrated followers. He tenderly comforts us. Hebrews 4:15-16 (NKJV),15 “For we do not have a High Priest who cannot sympathize with our weaknesses, but was in all points tempted as we are, yet without sin. Let us therefore come boldly to the throne of grace, that we may obtain mercy and find grace to help in time of need.”
Respecting races, all mankind descended from Adam and Eve. Acts 17:26 (RSV), “And he made from one every nation of men to live on all the face of the earth, having determined allotted periods and the boundaries of their habitation”. Jesus is the Redeemer of all peoples and races. 1 Timothy 2:6 (KJV), “Who gave himself a ransom for all, to be testified in due time.”