Flowers i am so glad you came here asking questions. look around the forums, read the stickies at the top of this section and please understand that everyone here who responds hears something in your posts which they relate to and their responses are about helping YOU - not him...
the addict in my life is my son. as a parent walking away is much less of an option. you asked for advice and my advice to you is to walk away. quickly. then continue to read and post here in order to understand why you would think being in a relationship with someone you can't trust and from the sounds of it in a very short time has already brought you to a place of unhappiness is a good thing...
do not become a place for active addiction to get comfortable for him as it only leads to major heartache for you..... and the lies get worse.
be safe. love yourself first and choose that which lifts you up and brings you joy!