My crown is less than a year old and fell out. Root crack underneath, implant recommended. Options? (photos)

#29 had a root canal, crown with post less than a year ago. It fell out entirely itself. I already pd over $3500 for the crown. They discovered a cracked root beneath. So he wants an implant done for $4000. The dentist will redo the crown/post no charge. Is it safe to redo a new crown over a cracked root? My dentist is not willing to refund my money to put toward an implant. I feel like he should compensate me for work he did incorrectly the first time. Medically what is the best scenario?