Riddle Central!!

Hey everyone! Welcome to Riddle Central! Riddle central shall be posted twice a week. All you have to do is answer some riddle and you win a trophy! But there is a catch, rules. lets go over the rules:

Rule #1) Please DO NOT search up these riddles. You don't do any work to solve them and it's unfair for the other contestants. C'mon, use your brain, it's much fun to use your brain!

Rule #2) Don't answer the riddle if you have heard it before because then it makes it no fun for the others.

Rule #3)Have fun!

Here are the riddles:

Riddle #1)I have one, you have one.
If you remove the first letter, a bit remains.
If you remove the second, bit still remains.
After much trying, you might be able to remove the third one also, but it remains.
It dies hard!

Riddle #2)
There are two brothers.
However much they run,
they do not reach each other

Riddle #3:
A sweet and simple palindrome
Order in food with me from home
When one is faced with great surprise
I might describe reacting eyes
A single genre of your tunes
I spell disaster for balloons
As a kernel alters its state
Or cork and bottle separate
I'm singular in construction
But in meaning I'm more than one
What am I

Riddle #4: I have hidden a link somewhere in this page. If you find click on it and tell me where it goes and you shall get a trophy! I know its not a riddle but it is still fun.