They already do receive significant government funding. The issue isn't the money - the issue is that they do not want to act like an actual medical clinic. Because sterilization is hard.
Yes, there is a legal difference; and by and large, women do not 'self-medicate'. We already know the ones who are doing abortions.
Yep, that's how it worked prior to Roe. Scaremongering over "women who have miscarriages will be arrested" is pure bunkum.
Legally, culpability has to be established beyond a reasonable doubt. If the abortion doctor lied, then that creates reasonable doubt that the mother actually knew abortion would kill her child.