Can one be baptized and become a Catholic if they don't believe in every particular Catholic dogma? Can one be baptized and become a Catholic if they don't believe in every particular Catholic dogma?

I personally am interested in being a Catholic, i.e., being baptized by a Catholic priest, being confirmed, and so forth. However, there are some dogmas that, even after serious biblical study, I am hesitant to believe in. 

After responses/ comments from a few members, I narrowed these dogmas to the following:


Perpetual virginity
Immaculate conception
Assumption of Mary


(While I did not include #2-3 in the original post, I am including them in my revision so that further clarification can be accomplished on this matter. The original post was not intended to include each dogma I did not believe in, but rather, to give a few examples.)

Originally, I said that I did not believe that one was required to pray to Mary and the saints. As @AndrewLeach responded,


  You present that praying to Mary and to the Saints are necessary. It's not necessary for salvation to pray to them, merely to accept that they are there if required... However, it is necessary to accept that the Saints are there if required, and that their prayers are effective.


I should clarify that I have no problem with people praying to the saints and/ or Mary, if they wish. I don't feel it is necessary, for anything, but as long as I myself am never compelled to do so, I have no problem if others do.

It seems that the liturgy of the Penitential Rite has the following statement:


  I confess to almighty God,
  and to you, my brothers and sisters,
  that I have sinned through my own fault,
  in my thoughts and in my words,
  in what I have done,
  and in what I have failed to do;
  and I ask blessed Mary, ever virgin,
  all the angels and saints,
  and you, my brothers and sisters,
  to pray for me to the Lord, our God.


So, is one required to recite this prayer during Mass, where he/ she is basically beseeching or praying to Mary and the saints? 

All that being said, and this is the primary question, can I still become a Catholic if I do not believe in (accept) those particular dogmas?
You asked about "every particular Catholic dogma." I think there are many good Catholics who, not being theologians, don't even know what all the particular dogmas of the Catholic Church are, and who therefore don't explicitly believe them. But they implicitly believe them, in the sense that (1) they believe that the Catholic Church has received from Christ the authority to declare certain doctrines as being revealed by God and (2) they would therefore believe any of these revealed doctrines if they were informed about them.  What is incompatible with Catholicism is to deny a doctrine even though one knows that the Church has declared it to be divinely revealed.  That's heresy and would put one outside the Church (even though one's baptism would remain valid).