The first two are the same: to some extent, a bit, slightly. The first one makes fun of the lack of a true apology (a sort-of apology) by suggesting that without a real apology, he won't get a real vote. " Some sort of = a type of, but I don't know exactly what type.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.