I was very sick and my company never treated...

You can file a complaint at the Ministry of Human Resources and Emiratisation against your employer on the mistreatment and expelling you from your residence and filed a false absconding case.
Given that the employer is the one who expelled you from the residence in spite of the fact that the UAE labor law gives the worker the right to vacate the residence within thirty days from the date of work end.
Find the following UAE Labor Law articles to your inquiry:
Article 131 (repeated 1)
1. For the purpose of the preceding Article, the worker’s “repatriation expenses” refers to the value of his travel ticket as well as the travel expenses of his family and the cost of shipping of his personal effects, as stipulated in the Labour contract or the firm’s policies.
2. A worker who is provided with accommodation by his employer shall vacate it within thirty days from the date of termination of his service.
3. The worker shall not overstay in the accommodation beyond the specified period for any reason, provided, however, that the employer pays the worker the following:
• the expenses specified in paragraph 1 of this Article.
• severance pay and any other entitlements the employee is bound to
pay in accordance with the employment contract, the firm’s policies, or the law.
4. if the worker contests the amount of the expenses and entitlements referred to
above, the Labour Department concerned shall urgently determine these expenses and entitlements within a week from notification, and shall promptly inform the worker accordingly.
5. In this case, the thirty-day grace period referred to in paragraph 2 of this Article shall be calculated to run from the date on which the employer deposits the value of the expenses and entitlements, as determined by the Labour Departments concerned, with the Ministry of Labour’s treasury. If the worker does not vacate the accommodation within the said thirty-day period, the
Labour Department, with the assistance of the authorities concerned in the Emirate, shall take the necessary administrative measures for eviction.
6. The provisions of this Article shall not prejudice the worker’s right to contest its application before the competent court.