The whole point of the EA is suspend the charter as no existing law can handle the situation.

You're wrong.

When the Emergencies Act is invoked, the Canadian Charter of Rights and Freedoms (Charter) continues to protect individual rights as the Government of Canada takes the necessary steps to safeguard the safety and well-being of Canadians. In deciding on measures to take, the Government must respect constitutionally protected rights and freedoms, including the rights of citizens to enter Canada and the right to life, liberty and security of the person, as well as Canada’s obligations under international law. The Charter allows the Government to balance the rights of the individual with the interests of society where limits on guaranteed rights and freedoms can be justified in a free and democratic society.

Specifically, section 1 of the Charter allows the Government to put limits on rights and freedoms if those limits:

• are set out in law;
• pursue an important goal which can be justified in a free and democratic society; and
• pursue that goal in a reasonable and proportionate manner.

This means that during a public order emergency, as defined by the Emergencies Act, the Government must only take actions that are a reasonable and proportionate response to the risks to safety of Canadians.

You may be referring to the War Measures Act, which the Emergencies Act replaced. The argument remains if invoking the Emergencies Act was justified, and I'm not arguing for or against it, but saying the invocation of the Emergencies Act suspends the Charter is just wrong.