You are not eligible to contribute to a HSA because you are covered by a non-HDHP (your pop's plan).
If you were eligible, the fees on that account would be too high to make it worth while (at least at the low-$ rates). However, if you were eligible, you could shop around for a place to open your HSA account that didn't charge so many fees. My credit union charges offers a no-fee HSA, but the catch is that the investment opportunities are limited.
If you decide to open your own HSA, you would want to double-check the fine print regarding that employer contribution. It sounds like they want you to put in $1500 of your own money to get $500 of theirs, and that probably means you have to do it in the plan that has those high fees.