Should I have my crown filed more?

To correct this, it would first be necessary to study the occlusion and analyze premature occlusal contacts of the crown, which would have to be relieved to restore harmonic occlusion.

You should definitely get the crown adjusted, do not worry about affecting the other teeth since once the crown is adjusted you should have the same bite as you had before the crown, no more, no less. The goal of any restoration is to make sure it is harmonious with your natural bite.