Self-employment income is not subject to FICA tax (codified at 26 USC §§ 3101-3128). It is, however, subject to a "tax on self-employment income" (codified at 26 USC §§ 1401-1403), which has very similar rates as FICA, although actually not precisely the same in certain cases.
As for your question, I think you would be best served if I simply referred you to a publication that the IRS has written on this topic,
Chapter 6 of IRS Publication 535, which describes the circumstances under which insurance is a deducible business expense. Please note that IRS publications are not the law, are not guaranteed to be accurate, are "nonbinding on the [IRS]" and "should not be cited to sustain a position" (IRM § 4.10.7.2.8), and, like all secondary sources, "do not have the force of statutory enactment nor do they supersede judicial decisions" (
Schott, Inc. v. Kalar, 20 CalApp4th 943 n 4 (CA Ct App 1993)). Nonetheless, those qualifications are all true of my posts as well, so when there is already a publication that answers your exact question, it makes sense to link to it.