Congrats on beginning your investing career young, wish I had started ten years earlier. Be very careful with bank financial managers, a lot of times you're just talking to a salesman, not an investing professional who will teach you. Always better to meet with a couple of investing professionals before buying anything, find one you are comfortable with that has the heart of a teacher. As far as your questions go?
How much should I expect to pay him for managing my mutual funds?
Unless he's a Fee Only Adviser, Nothing, he's not managing any funds. You may pay a front end sales charge or "front load" when purchase shares, or when you sell shares "back load". But other than that, you don't pay him anything.
Should I pay him to open an IRA account?
No, as long as you have the minimum initial investment, this shouldn't cost you anything or maybe a small service fee.
What about should I pay him for opening Bonds, etc.?
Have no idea how to "open a bond" lol. You pay a broker fee when buying stocks, bonds, etc. Have no idea what your bank charges for this. I'd not recommend single bond or single stock purchase for beginning investors. Get your feet wet with index/ mutual funds and ETF's first before jumping into the shark tank.