The bottom line is, NO. A rental property owner only deals with that if TWO conditions are true.
1) You are a Real Estate Professional
2) Rental income is your PRIMARY (more than 50%) source of income.
If both conditions are not true, then a 1099-MISC is never required.
Also, your A/C is a property improvement. If you paid more than $2500 including labor costs, you need to enter it as such, and the safe harbor de-minimus act does NOT apply.