I've Been Separated From My Spouse For Over 30 Years, My Son Has Been My Care Provider, When I Pass On, Can My Son Get My Social Security Checks.

This is not a family law question, but normally Social Security benefits are individual, not an asset that can be left to someone else.  Your son may be individually entitled to some form of benefit -- he should inquire at the Social Security office online or by phone.  You may want to speak to a wills, trust, and estate lawyer about the status of your estate, since your question hints that you may still be married to a spouse from whom you are long separated.