A neighbor came onto my property, cut down and removed 4 80ft trees. Is this criminal tresspass?

The matter could be prosecuted criminally, although the particular charge would be up to the prosecuting attorney that pursues the matter. ...

As with any property with title or other defects, thorough due diligence should be undertaken prior to proceeding with any purchase. The question...

Is property owned by a Public Utilitiy District subject to the adverse possession laws or is it exempt?

It may be possible for adverse possession to occur under these circumstances. However, you would need to consult with a licensed attorney...