A 61 Yes to all.

A 59 dispute

Slow as a spell predates the existence of Swift actions so its lack of reference to them does not dictate that they cannot be performed (otherwise the PHB's lack of reference to them would do the same on normal un-slowed turns).

I don't have a Rules Compendium which is about the only source that will rule on this, but I think it isn't officially defined.

My take is that since Swift Actions are an out-growth of Free Actions the answer is Yes.