There are many cases of thrombosis in my family, including my father. the doctor mentioned a genetic disorder and that i should get tested. what genetic disorders can cause blood clotting? should we avoid covid vaccines linked to clotting?

The most common is Factor v Leiden which leads to blood clotting. Protein S and Protein C deficiency, anti thrombin 3 deficiency another clotting disorder is anti phospholipid antibody, but that is usually associated with autoimmune diseases such as lupus. Elevated Factor VIII can lead to clotting and is genetic. It is important for you to see a hematologist so you can prevent clotting on yourself

If there is a family history of blood clots, there may be an identifiable genetic disorder causing affected family members to produce "pro-coagulant factors" which can be identified by blood tests. Hematologists are blood specialists who can advise which tests should be included and recommend pertinent genetic testing. Once this is clarified and treated, COVID vaccination can be given.