We received our funds on May 5th which means the eight week spending deadline is on June 30th, but our Payroll runs on July 3rd. Will that be OK, or do we need to run an early payroll for the 30th to meet the deadline?

For payroll expenditures only, the SBA has issued new guidance. Borrowers may choose to use the 8 week period following the date they received their funds OR they may choose to use an "Alternative Covered Payroll Period" calculation as follows: Borrowers with a biweekly (or more frequent) payroll schedule may elect to calculate eligible payroll costs using the eight-week (56-day) period that begins on the first day of their first pay period following their PPP Loan Disbursement Date (the "Alternative Payroll Covered Period"). For example, if the Borrower received its PPP loan proceeds on Monday, April 20, and the first day of its first pay period following its PPP loan disbursement is Sunday, April 26, the first day of the Alternative Payroll Covered Period is April 26 and the last day of the Alternative Payroll Covered Period is Saturday, June 20.
Borrowers are generally eligible for forgiveness for the payroll costs paid and payroll costs incurred during the eight-week (56-day) Covered Period (or Alternative Payroll Covered Period) ("payroll costs"). Payroll costs are considered paid on the day that paychecks are distributed or the Borrower originates an ACH credit transaction. Payroll costs are considered incurred on the day that the employee's pay is earned. Payroll costs incurred but not paid during the Borrower's last pay period of the Covered Period (or Alternative Payroll Covered Period) are eligible for forgiveness if paid on or before the next regular payroll date. Otherwise, payroll costs must be paid during the Covered Period (or Alternative Payroll Covered Period). Count payroll costs that were both paid and incurred only once.

...