Welcome aboard!
I'm afraid what you have there is a mixture of parts. The case and dial dont belong with each other - my guess is it's a 2846 Seamaster case with the dial of a 2852 Constellation. You're right that the crown is also incorrect, but that's a minor issue in comparison.
Have it opened by a watchmaker and have him take a picture of the movement with the 3-digit caliber number and the 8-digit serial number clearly visible. This will help us determine if it's a chronometer rated movement that might be correct for the dial.
To recreate a "correct" watch, you'd need a 2852 case and crown, plus likely someone to service it while the dial is being transplanted. While it's possible to find those spare parts with patience, do note that this wouldn't make sense financially. If you want a great watch to wear and remember your late father, either have it serviced as is (after all, that's how your dad wore it) or source a correct Constellation case and second hand for it. But if you're intending to sell it, don't invest any money. Just have a watchmaker take movement and inside case back pics, maybe give it a bit of a careful cleaning. You won't get back the amount you'd have to invest to buy the Constellation parts you need.