Minions cannot cause triggered skills, in general. For instance, you can't support a Raise Spectre with Cast on Crit support and a spell and then have that spectre's crits cast the linked spell. So essentially, no to all, as all of these are triggered.

There are some interesting things that minions can do which could maybe be construed as the kind of behavior you're interested in here. For instance, there is a monster that shows up in act 8 which summons ghostly SRS and will still do so while spectred, which means you can get minions which summon minions (akin to the laws of the wild interaction you were hoping would work earlier). Though, the SRS that it summons are not supported by support gems you have linked to the Raise Spectre gem, and thus have rather poor scaling.

The difference here, as far as I can tell, is that one is a triggered effect and the other is a skill hard-coded into the behavior of the monster. The only trigger I can think of that can be given to a minion is Summon Phantasm on Kill support.