Antiques, even new furniture can bring in new mold to your home. You will have to be very diligent going forward in how your home can be exposed. We recommend purchasing a spray bottle of MoldKlear to clean items BEFORE you bring them in your home.
Having your windows open in spring can also let in mold. Place humidity meters in your home to monitor each month. We suggest that if humidity is nearing 55% that you watch more diligently and are conscious to not let it reach 60%.
Regarding your garage, your house is positively pressured so when you open the door from your house to your garage air should flow out from your home not in. Treating a garage that is not climate controlled or whose door is opened often will be hard to maintain humidity control.
Nothing guarantees mold will not return. You will have to remain diligent and repair any moisture intrusions within 48 hours.