To answer my own question, yes you can see Check Control messages with INPA. Many thanks to QSilver7 for pointing me in the right direction!
From the LCM, you can see a list of which messages have been generated and the number of times each has, but not on what date or time. I was mainly concerned that I was getting CC messages about low fluid levels, but the only messages I see are trivial lighting errors, none of which is still a problem.
I'll still be making that pixel fix ASAP!
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2003 E53 3.0i
DOB 10/15/2002
Sienna red, Savannah Beige Dakota leather
Type FA53, Engine M54B30
2018 G02 30i
DOB 4/21/18
Black Sapphire Metallic / Canberra Beige Vermasca leather
Engine B46O