Insurance is a means of protection from financial loss. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss. An entity which provides insurance is known as an insurer, insurance company, insurance carrier or underwriter. A person or entity who buys insurance is known as an insured or as a policyholder.
The insurance contract between the insurer ( insurance company) and the insured is permissible in Sharia because it is similar to any conditional gift هبة مشروطة as the insured gives certain amount of money ( premium) to the company with a condition that if any thing wrong happens to him or his health or property etc, the company should pay for it fully or partly. This is a permissible contract.
Your work in insurance company is permissible.
Yes, life insurance is allowed according to our leading scholars because it is taken as what is known in jurisprudence as (هبة مشروطة) ( Conditional gift) because of the agreement between the costumer and the insurance company that he gives to the insurer a certain amount ( premium) with a condition that the insurer must give him or his family a certain amount if any thing happens to him or his family, etc.
Yes it is allowed to work as an actuary in insurance company or any other company as far as the related product itself is not against the Islamic rules.