No Catholic has to believe any of that. Not even the Nicene Creed. Anglicans require actual belief (I speak as a former Anglican). No Catholic is required to believe
anything.
(Why do I get the feeling I have said this
recently? Maybe I will save time by quoting myself.)
There are no beliefs that must be held to be a Catholic. Catholics may question or doubt any (or all) Church teaching and remain in good standing. This may come as quite a surprise to many people who think Catholics are required to believe all sorts of things. In truth, we are not required to believe
anything.
But we don’t get to just thumb our noses at God while we wallow in our disbelief. There are some rules. The person must realize that his doubts or lack of belief is a personal fault that should be corrected. He must make a genuine, good-faith (and ongoing, if necessary) effort to correct that fault (CAF is good for that, as is the Catechism). He must not knowingly teach others anything contrary to the Faith.
As a traditional Anglican, I was received into the Faith while still unconvinced about the Immaculate Conception and Assumption. I have since reconciled myself with Church teaching in both regards.