If the police had a warrant to arrest you (a capias), then they may enter the home for the limited purpose of arresting you. As long as they did not search your home without a search warrant, they acted lawfully.
You may have other defenses of which you are not aware; and DUI is a very specialized area of law. If you have not done so already, I strongly urge you to contact a local, experienced DUI attorney. You may find such an attorney through the National College for DUI Defense: www.ncdd.com. Most initial consultations are free. So, you have nothing to lose initially.