Greetings!
I highly recommend the book "Millionaire Teacher" by Andrew Hallam. It's an easy read and is geared at normal people who have no special knowledge of the financial world, but the advice is sound and fees are one of the topics discussed.
I'm not an expert on plan fees, but those fees do seem high to me. The least concerning of the fees is the 0.56%, although that is quite a bit more than I am paying for index funds (I just looked to confirm that the Vanguard market index funds I have invested in my 403b are in the 0.02-0.08% range, just as a point of reference, with the lower end being in the "institutional shares" category which always has the lowest fees.) I don't think 0.56% is crazy, though, as I've seen funds in the 1-2% range.
The record keeping and custodial fees you list make less sense to me in terms of magnitude. Are they charging you personally $800 per year regardless of your balance? That is just crazy if it is the case. As a point of reference, I paid $27 in plan fees which I suspect are that type of fee for the first half of this year, and my 403b balance is several hundred thousand dollars.
Does your employer's plan have a way for you to either talk on the phone or sit down with an advisor from your plan administrator? You are right to ask your questions about fees, and you have a right to understand what the fees are in the available plan.
Is there someone in your county's HR who is responsible for helping you with benefits enrollment? Your employer has a fiduciary responsibility to make sure that the fees in their plan are fair and reasonable for the services being provided by the investment company. I've never heard of anyone being able to invest in a 403b plan outside of the payroll deduction method . . .
Finally, at what you are likely being paid, you should open a Roth IRA and max it in addition to the 403b. It is probable that you should also invest in the 403B at least up to the maximum employer matching level, because otherwise you are leaving free matching money on the table and losing the tax-deferred benefit, but making sure you understand those fees this month is a good idea.