@David Olson
No, the purchase price is just that - the purchase price. On the second tab of the BRRRR calculator, scroll down to the section titled Purchase Loan Details. That's where you need to enter the hard money loan details you're using to buy and rehab the property.
If I'm reading your sheet correctly, here is what you should put in the calculator:
Purchase Price: $110,000
After Repair Value: $175,000
Purchase Closing Costs: $0 (but could include finder's fee, inspection fee, etc. if you have any)
Estimated Repair Costs: $32,000
Purchase Loan Details
Cash Purchase: no
Down Payment: Click Provide Actual Value
Enter Loan Amount: $122,500
Interest Rate: 11.99%
Points: 3%
Other Charges From Lender: $6,667.50 (can also be entered under Purchase Costs above instead - but not in both places)
I don't know the answers to the rest - those will depend on the exact loan terms they're offering you.
The next section is "Refinance Loan Details" - I think you've already filled it out. This should include the hypothetical long-term (conventional) loan you will use to refinance into after the rehab work is complete.