Telling someone to commit murder for you is an example of speech directly inciting violent action, so no, that would be a criminal act.
It's iffy whether telling someone they should commit suicide is free speech or not. Given that suicide is illegal in most societies, it would probably be illegal in the same way directly inciting violent action is, though the subtleties of the case matter.
No, lying under oath is a violation of a contract. That is outside the realm of free speech because you willingly and knowingly restrict your freedom of speech to testify under oath.
Psychologically abusing your children — again, a very fine line, with a very high burden of proof. Psychological abuse is almost never punishable unless it crosses over into the physical world, which can also include things like curtailing access to proper nutrition, etc. But at that point, it's not a matter of free speech, but of child neglect.
It's always interesting to see that, when actually probing deeper, almost no-one believes in truly unrestricted free speech, even people who proclaim themselves as free speech champions (such as yourself). For example, can I slander you? If I own a newspaper, can I try to convince my readers that you're a pedophile? Can I tell someone to commit murder for me (after all, it's just speech, it was the other guy who pulled the trigger)? Can I tell a suicidal person that they're worthless, nobody will ever like them, and they should just kill themselves? Can I lie under oath? Can I psychologically abuse my children? If you responded "no" to any of these questions, you also don't believe in absolute free speech, now it's just a matter of arguing where to draw the line.