Murphy's will leave a residue that may keep finish from adhering. If you want to coat after cleaning with Murphy's you will have to remove the "oil". However the look after Murphy's may be the look you want.
Feel free to PM me if you have any questions on re finishing.
Rob
I'm looking for advice to clean up some old (1985) teak plywood. No water stains or rot, just grim from over the years. Never been varnished, just oiled.