Probably approaching $100k in total.My options seem to be sell and pay an additional ~70k out of pocket to the lender (underwater amount) or make the repairs and hope the problem is corrected once and for all.

That's less than anyone's paying in rent. 

I pay a real estate agent for listing properties and I handle payments through Rentec Direct app.What is the rate that should be paid for property management (partial PM as described).

Went on to purchase additional rentals so tenants can pay down the loan and I build equity How did you find this deal and how did you negotiate it?

I would suggest taking the route of option 2 or 3, so not only are you saving over 10k in rent per year but the residents help in paying down the debt.

One of our residents was robbed outside of this property and we ended up paying for the resident to move out and sold this property.

However, after talking to some loan professionals, it seems that there are always origination fees, appraisal fees etc.My question is, what fees should I expect to pay when opening up my first HELOC.  

For example, I mention that every adult must pay a $30 application fee, pass my credit/criminal background, make a combined income of 3x the rent, and whether or not the property accepts pets.

You can structure the deal to pay him gains at a zero federal tax rate.  

Quote from @Leeling Chew: It doesn't matter who pays the bills.