You could be sued for using Lovecraft image or likeness, but I'm pretty sure he's been dead long enough copyright doesn't apply.
Depends but mostly in the clear nowadays.
Some or all works by this author are in the public domain in the United States because they were published before January 1, 1925.
So, all works of Lovecraft published during his lifetime, became public domain in all 27 European Union countries on 1 January, 2008.
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However certain phases like "The Call of Cthulhu" are still trademarked by Chaosium.