In my earlier response I wrongly assumed (for no good reason) that you had used some of your business-use-of-home expenses to reduce your business income to zero, and had some of the expenses left over to carry forward. Of course a carry forward can occur if there was a business loss before any business-use-of-home expense was applied.
To answer your latest questions, yes, your net business income would be $48,000 after applying the business loss and business-use-of-home carry forwards. Of course your 2021 business-use-of-home expense could also be taken and I assume the $50,000 after all expenses was net of the 2021 business-use-of-home expenses