The exact fee structure depends on your company's plan. For example, the company could pay the administration fee, or decide it should be paid by participants. If your old 401k has the BrokerageLink option, you can find out the total of these fees directly, since fidelity can't bill to BrokerageLink funds directly, and instead takes them out of the funds in the plan options. My former megacorp's admin fees were .11%, which was tacked on to everything; quite a difference, if you are indexing, but a relatively small plan fee.
https://www.employeefiduciary.com/blog/fidelity-401k-feesI suspect that the trading fees may be because you have non-fidelity funds in your account, but that's a guess. I assume you are reinvesting dividends? Of course, fidelity should be able to tell you those, and provide a detailed statement.
If your current 401k has better fund choices, that could be an option. There are also degrees of flexibility that a 40k has, but an IRA does not. (e.g. penalty-free withdrawals starting at 55, if you leave that company at that age) But an IRA will avoid those group management fees, and of course every major platform has funds that are perfectly fine.