Contradiction with Matthew 7:7
While Song of Solomon 3:1 describes searching for someone and not finding them, Matthew 7:7 implies that seeking will result in finding.
Matthew 7:7: Ask, and it shall be given you; seek, and ye shall find; knock, and it shall be opened unto you:
Contradiction with Isaiah 65:24
Song of Solomon 3:1 involves seeking without finding, whereas Isaiah 65:24 suggests that before one calls, God answers, indicating immediate response to searching.
Isaiah 65:24: And it shall come to pass, that before they call, I will answer; and while they are yet speaking, I will hear.
Contradiction with Jeremiah 29:13
In Song of Solomon 3:1, the seeker does not find, while Jeremiah 29:13 says you will find God when you search with all your heart, suggesting successful searching.
Jeremiah 29:13: And ye shall seek me, and find [me], when ye shall search for me with all your heart.
Contradiction with John 10:27
The verse in Song of Solomon describes unsuccessful seeking, whereas John 10:27 indicates that Christ's followers hear his voice, implying that they can find and connect with Him.
John 10:27: My sheep hear my voice, and I know them, and they follow me: