Your K-1 is below the $4,050 so no return is required to be filed for SC.
A nonresident individual having South Carolina rental property as an investment in South Carolina should file Form SC1040 and Schedule NR - Nonresident Schedule. Rents received from the rental of real estate, less all related expenses, are allocated to South Carolina providing the property is not used in or connected with the taxpayer's trade or business.
See Code Section 12-6-2220.
Source: https://dor.sc.gov/tax/individual-income/faq
A nonresident individual must file if the gross income taxable to South Carolina is more than the federal personal exemption amount. A nonresident individual files a Form SC1040 South Carolina Individual Income Tax Return and Schedule NR Nonresident Schedule.
See Code Sections 12-6-1720 and 12-6-2220.?
This personal exemption amount is $4,050. Due to coming on K-1, you do not have to file a SC return.
