Update: I have done a few more of the clues.

(number horizontally)

1. The lick is from Frank Sinatra's "The girl from Ipanema"

2. By attributing the letter in cat to 1, 2, and 3 respectively, and the same with dog (5, 6, 4), we can get somewhere. Yes for Pierre, I think means yes in French, since Pierre is a common French name. Therefore, 123 + 568 = 687 (you should see where this is going by now). We attributed CAT and DOG to numbers, now we can attribute OUI (Yes in French) to the numbers 6, 8, and 7. Now, by crossing (multiplying) CAT and DOG, we get 69,372. By taking the letters we attributed to numbers and putting them in 69,372, we can find that it makes O_TIA. By putting this into a word unscrambler with _ as a wildcard, I was given 12 different words. The only word there that was an animal was the Coati, which only makes sense since the clue involves the "crossing" of 2 animals.

3. This question was undoable for you guys, since you don't go to my high school. However, outside the chemical room in the science area had a sign that said "Hazardous Chemicals" and other mumbo jumbo (the teacher that made this is a Biology teacher). I put the template that the bit.ly link gives you up to the sign and got:

A

H   ARD

T  RIAL

Now, the only hard trial I thought of in the second of thinking of that was the Scopes Monkey Trial. The first name in a Dayton hint was brought upon me by realizing that this court service occured in Dayton, Tennessee. I could only conclude that the clue's answer was John T. Scopes, the instigator of the trial. (Not 100% sure about this, input is appreciated.)

1. This one confused me a bit. the symbols below the text say "1, Key, Right", and after thinking for a long time, devised that it must be on a keyboard (thanks to the commenters, too). So I typed in Xgyeuxgukk on my keyboard, but instead of typing it normally, I typed everything one key to the right of the original letter instead. This gave me:

Churchill

Which fits into:

He broke the outside of a CHURCHILL quote.

I don't know where else to go with this, input is appreciated.

1. Holy shit. This one was cool.

This one used Columnar transposition, however it gave you the code to decipher. All it required was the key, which was "The descendant of Eohippus", which was easily googled to trace back to horses. So I went to a Columnar Transposition Cipher decoder and used Horse as the key, and got BERNARDANDLENINASCREATOR. So I fumbled around with where the spaces should be and googled "Bernard and Leninas Creator". This gave me Aldous Huxley, descendant of a famous biologist, Thomas Huxley (note that the teacher that made this is a biologist).

That's all I got for today.