Oscillation period is less than time step in Charmm36ff

GROMACS version:
GROMACS modification: Yes/No

System consist of protein and RNA minimized in the Charmm36ff. When running nvt and npt there is the following Note:

NOTE 1 [file topol.top, line 50]:
The bond in molecule-type RNA_chain_B between atoms 56 C2 and 57 O2 has
an estimated oscillational period of 1.9e-02 ps, which is less than 10
times the time step of 2.0e-03 ps.
Maybe you forgot to change the constraints mdp option.

It is necessary to add that in mdp file constraints were set to = h-bonds as required.
Does this note is critical for equilibration and further molecular dynamics? What may be a general approach to solve this problem? Does the change of time step to 1fs (dt =0.001) will be the right solution?

If you want to be on the safe side, you could set the time step to 1.5 fs. But this note is just to make you aware of a potentially risky setting. If the factor gets below 5 it will be a warning instead.

In your case you are very close to a factor 10 difference. I think you’ll be fine with a 2 fs time step, but I can’t guarantee anything.

Is it necessary to change tau_t and tau_p if I change the time step (df)?

I used two-stage equilibration befor md simulation and I‘m not sure if some other parameters should be changed (if they are correct at all):

Equilibration 1st stage: v-rescale, tau_t =0.1 ps (for 1-10 ns)
Equilibration 2nd stage: v-rescale, tau_t=0.1 ps, c-rescale, tau_p = 2.0 ps (for 10-100 ns)
MD: v-rescale, tau_t=0.1 ps, c-rescale, tau_p = 2.0 ps

I see that pressure and temperature are rather stable when using this parameters, but still not sure about them.

Within reasonable limits, the time constants for pressure and temperature coupling do not depend on the simulation time step.

In general, I would recommend slightly larger time constants, especially for the temperature coupling. See if What is the recommended value for tau-p and tau-t with GROMACS2023.0 when using PR and NH helps you.