Non-resident South Carolina loss

I am a California resident but am a limited partner in a multifamily property in South Carolina. Line 2 of my SC K-1 shows a $84 federal loss and (after adjustments) a $4479 loss allocated to SC.  In addition, the partnership had $76 in interest income.  This is my only SC income.

Questions:

1) Since I will have negative income in SC, do I need to file an SC1040?

2) Can I carry this loss forward to my 2024 SC return (assuming I have positive income then)?  On my federal return, the loss will offset other income so will not carry forward.  

3) How would I enter this in 2024?  Do I just include the carryforward in the SC column of "Rents, royalties, partnerships, estates, trusts, etc"?

Thanks,

Steve