Temp goes up when you add things (including eggs, usually) to get the added item to the same temp as everything else. At least that's what I think.
Did you check the accuracy of your hygrometer? If not, it could simply be off. I have a cheap electronic thing that is a full 15 degrees off.
But if it really is 34% it should be at least a bit higher. Your eggs are fine and will probably be fine at 34% but yeah, I'd try to raise it about 10 degrees.
You check the accuracy of the hygrometer with salt and a plastic bag. Get a large zip lock or some sort of plastic bag that you can seal air tight. Put some salt in a bowl (doesn't really matter how much, I'd say about 1/4 cup) and add enough water just to make it like wet sand. Put the hygrometer in there with the salt and wait at least 8 hours, and if you wait longer, even 24, it's ok.
Check the reading. It should say 75%. If it doesn't, then just add or subtract to the reading to get the correct humidity. For instance, if it says 70%, then add 5 to the reading whenever you check it. If it says 85, then subtract 10 when you check it. So if it's off by 10, and says 34%, then your humidity is really 44%.