I have weaned off Paxil twice. You can't just quit cold turkey so I guess in that sense it is addictive. However, you don't have cravings for it like alcohol or cigarettes so in that sense it's not addictive. You just have to wean off so that the withdrawals aren't as bad.
The problem with mixing alcohol with SSRI's is they cancel each other out so the SSRI's are less effective.
I have never heard of any SSRI that produces alcohol cravings but I suppose with the right brain anything is possible.