if you get a digi thermometer get the best one you can find. I've had some that show the tempurature being anywhere from 78-86(F) at one time. kinda hard to guess sometimes.
The red liquid is just dyed alcohol. The small amount found in an aquarium thermometer should not harm the fish.
I would be more worried about them ingesting glass shards myself....
one day i came home to find my thermometer broken in half... i have no idea which fish destroyd it but all thoes balls wer everywhere n wen i try to get them out my fish kicked up then sand n burried them all....none of my fish died tho