As state by the EPA
On July 12, 1989, EPA issued a final rule banning most asbestos-containing products. In 1991, this regulation was overturned by the Fifth Circuit Court of Appeals in New Orleans. As a result of the Court's decision, the 1989 asbestos regulation only bans new uses of asbestos in products that would be initiated for the first time after 1989 and bans the following specific asbestos-containing products: flooring felt, rollboard, and corrugated, commercial, or specialty paper.
There are 5 different methods to control the release of asbestos fibers: Encapsulation; Enclosure; Repair; Removal; and Operations and Maintenance. All are temporary except for removal. The other methods manage the asbestos in place.
If the asbestos containing material is in good condition with a low possibility of being disturbed or damaged, than it may be left in place. However if it is damaged or deteriorating it is likely that removal is the only feasible option to safely control potential exposure risks.
Unlike asbestos, lead dust does not stay in the air for any prolonged period of time. Since lead is a naturally dense material it will fall to the ground very quickly.
While consumer lead based paint was banned in 1978, asbestos does not have a cut off year. In addition asbestos is still used in building materials in other countries which can then be imported to the US. It is for this reason that even homes build today should have asbestos tests performed prior to any work being done.
Mold is present in the outside environment everywhere we go. We breath it in regularly on a daily basis. Mold tends to cause issues when it is in a confined space with little or no air movement, such as our homes. In these spaces mold can grow and multiple, in turn creating air quality that we would rarely if ever encounter in any outdoor environment. It is in these conditions and concentrations that mold begins to create health hazards for humans. You should always consult your Doctor first for any medical issues.
The short answer is no. While you may need to rent a hotel room while the work is being done, you will be able to reoccupy your home after the abatement or remediation is complete.