REW can display the arm/cartridge resonance quite easily. Use the RTA function. Expand the graph's low frequency cutoff to 2Hz. Play any record or test record as long as there's no information below 15Hz or so. You will see the arm/cartridge resonance as a peak (it can be broad) somewhere between 4 and 15Hz. In my setup, the peak is broad and a bit variable. It is about 50dB below normal listening level.
The arm/cartridge resonance is mainly determined by two physical parameters. These are the stylus/cantilever construction (stiffness mostly) and the effective mass of the assembly. If you make drastic changes to either of those parameters you should see the REW RTA spectrum shift frequency in response to that change. If it doesn't then the source is not the LP, but is coming from somewhere else..
The LP surface generates a noise spectrum. It is highest in the tens of Hz, dying down into the noise floor at 20-30Hz. Any arm/cartridge will have a resonance in this region, so it will be excited.
Rumble is caused by the table vibrational noise coupling into the arm/cartridge assembly and can be somewhat ameliorated using rubber or sorbethane on the platter. I think there's little more one can do. The table motor and its construction can't really be changed without a lot of bother. This effect will add to the excitation of the arm/cartridge resonance.
Isolation from the environment is also a contributor, but can be addressed and reduced.
That once around whooosh you hear has been pressed into the LP. I've received (and returned for a full refund) several LPs that had this problem. I bought them from the Sade website. Some other LPs have this whoosh also but to a lower, tolerable amount.
Every mechanical component or assembly in your system has a resonant frequency and overtones. These cause no problems until one excites them. There will always be always multiple sources with individual spectra.
One must go through the list of possible sources until a response is discovered (measured). Since the source has been discovered, one can then employ a variety of approaches. Noting which ones reduce resonance will lead to a solution.

