Outlets in a garage are supposed to be gfi protected. An exception is for washer/dryer. The washer/dryer are supposed to be on their own circuit, you aren't supposed to extend this with additional outlets. You don't want your freezer on a gfi protected outlet, and the garage door control should be. While you can probably split the power so the gfi isn't protecting the freezer, the manufacturer typically wants their major appliance on a separate circuit breaker. It is not safe to use a single neutral. You could overload it. The power needs a full circuit, and neutral is part of it. In theory, if the two circuits were on opposite sides of the split phase power, the neutral currents might cancel, but you can't depend on this and it isn't safe for what you are trying to do.
I think you'll be happier if you run some new circuits. It is nice to have the lights separate from the outlets, but not absolutely necessary. That way, if you do trip something, you can still see to manueuver without falling over something.