My tenant is unable to pay cash to cover his monthly rent, so he’s doing some work on the premises. Do I have to report rental income over what I receive in cash?

Yes. Whether you’re paid in cash, property, or services, you must report it all as rent. If you’re accepting the services as equal to the rent owed to you, then that means the fair market value of those services is the same as if you’d been paid in cash; all is rental income.