1. Mutations can not increase information.
This is completely false. We know how information can be added to DNA: gene duplication and mutation.
2. The genetic code contains information. This information could not assemble it self.
First of all information isn't a thing, it's a concept and DNA fits in to the concept.
DNA didn't just assemble it self. It most likely started with RNA (RNA: ribonucleic acid, DNA: deoxyribonucleic acid) it was the environment and the chemicals in the environment that produced the chemical reactions that produced the first RNA.
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Links and sources
Dictionary - Information Wikipedia - Information Talk Origins - Creationist Claims - Mutations do not add information Talk Origins - Creationist Claims - How could information, such as in DNA, assemble itself?
Science Daily - Gene Duplication Adapts To Changing Environment Medicine Net.com - Definition of Gene duplication