More than likely it is running continuously to try and satisfy the stat........
There are no schrader valves on refrigerators so you can't test your pressures anyhow.
If you have/had a leak, you will see some refrigerant oils at that place. However, many guys think it's a leak when it's actually a bad/worn compressor. If it cannot make the pressure difference (due to worn/leaking valves) then even a fully charged system will never be able to remove enough heat. Refrigeration does not make cold, it removes heat.........
It's a Hotpoint, probably not worth a new compressor and all the work involved.
All our government does is distract us while they steal from us, misspend our tax $ and ruin our country