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There have been many times where a message appears on screen during a level, but it only pops up for a second, giving me barely any time to read it. Because of this I have gotten stuck and confused in custom maps because I didn't get a chance to read the instructional message that flashed on screen. Is there a way to make the in-game messages last longer?
Not by regular means. However, there are several source ports that dump the centerprint messages to the console where you can read them. Quakespasm, for example. Tip: if you play on a high resolution and the text is tiny, you can increase the centerprint text size with scr_menuscale 2 and the console text size with scr_conscale 2.