Withdrawal from weed on is famous for causing bad anxiety for some people... alcohol likewise... Some of the worst substance-related experiences I had were mixing drugs. My main drug of choice was alcohol, but experimented with others many times, often along with booze. Particularly bad for me were mixing psychedelics with alcohol... a couple experiences when I thought I was losing my mind not while on them but the following days.
You have made a great decision to stop those things; hang on in, it may take a while to settle down, but is worth the effort!
Welcome to SR, it's a wonderful community with very valuable information and stories on the boards!