If you itemize deductions, likely the convenience fee is tax deductible. The IRS hasn’t said whether this specific convenience fee is deductible as part of your real estate taxes (which has no income threshold) or as a miscellaneous itemized deduction (which has a 2%-of-adjusted-gross income threshold), but prior guidance (IR-2009-37) on a similar topic may be helpful: The IRS ruled that the convenience fee paid when charging federal income taxes was deductible, but only as a miscellaneous itemized deduction.
Depreciable property used in a trade or business and held for more than a year. All Section 1231 gains and losses are netted; a net gain is treated as capital gain, a net loss as an ordinary loss.