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The two impacts of the deposition of King James II are giving more power to the parliament by signing the bills of rights and church become powerful. Thus option first and third are correct.

What is the meaning of Deposition?

Deposition refers to the action of removing someone from the office. It can be a document in the written format of testifying the person from the current position.

After the overthrow of King James II, his daughter Mary and her Dutch spouse William of Orange assumed the crown. In 1689, they ratified the Bill of Rights, giving Parliament control over the monarchy.

Therefore, it can be concluded that Mary and William were Protestants, which strengthened Protestantism and the Church of England as a result. Hence, option  First and third are correct.

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List of option -:

The new monarchy signed into effect an English Bill of Rights giving more power to Parliament.

The Catholic Church became more powerful.

The Church of England became more powerful.

The signing of the English Bill of Rights took away the charter rights of the colonies.