Can I get citizenship thru my dad if I have 2 DUIs?

Significantly more information is needed in order to analyze and respond to your question. In order to apply for citizenship, an applicant first must be a Lawful Permanent Resident (have a "Green Card"). For most people, it is necessary to have a Green Card for five years before becoming eligible to apply for citizenship; for spouses of most U.S. citizens, the period is three years (but note that an application may be filed as early as 90 days before the end of the 5-year or 3-year period). Two DUI convictions generally will not stand in the way of eligibility, even when coupled with another traffic offense. It would be a mistake to pursue an immigration application under these circumstances without working with an immigration attorney who, after learning all of the relevant information about you and your immigration-related history and arrests/convictions, could advise you about eligibilities, options and strategies and could offer legal representation in the application process - which often is more complex than it might appear.