Certified GKH Gardening Expert
Yes! It's possible to transfer the fungus from one lawn to another with mowing equipment, as well as one's shoes, from infected lawns that have recently been cut. For instance, Pythium is a fungus that can literally wipe out a lawn over night and is transferred by mowers. If you hire an outside maintenance service, you may want discuss with them the precautions they take to avoid the spreading of disease.
I agree that Fungus can spread from one to another lawn and even it is hard to remove if you have no information regarding it. I think it will be a smart idea to hire a gardening company to prevent such issues. You can go through the http://www.gardeners-melbourne.com for better assistance.
Yes, but your lawn must have the right conditions inorder for it to grow.