It sounds fine to me!
I've actually read the plot but I didn't get what the title has go to do with it
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"I've actually read the plot" = present perfect, because it reports the present state of "having read the plot". The p.p. here also focuses on the presence of the plot in the speaker's mind.
"I didn't get what the title has got to do with it" = simple past because it reports a particular event: "not understanding the significance of the title at the time of reading".
Of course, there are other possible permutations, e.g.
"I read the plot, but I didn't..."
"I've read the plot, but I don't..."
— with their slightly different focuses.
MrP