1. All puppies bite. Sit on the floor and play with the puppy using a toy. The puppy can bite the toy but if she decides to bite you then say Ouch! in a high pitched voice. If this doesn't work or if she keeps biting then stand up, stop playing, and ignore her for 30 seconds. Then keep playing but stop any time she bites you. If she gets really out of control and is biting your pants, jumping on you, chasing people's feet then put her in her crate for 1-2 minutes for a time out.
Don't yell or hit the puppy because it will really mess up the trust and bonding process. Some puppies will get even more amped up and think yelling and hitting are play which is very bad.
The biting seems horrible (and hurts!!) but puppies grow out of it if you always stop play and redirect them to bite a toy.
2. The puppy is peeing in the crate. How big is the crate? It should be small enough that she can only turn around and lay down so get a crate divider if it is larger than that. You have to watch her or have her in the small crate 100% of the time! Tie her to a leash around your waist. If you see her sniffing, circling around, or starting to squat pick her up say "outside" and go outside and set her down. Then just wait for 10 minutes. If she goes be very happy, say good girl, give her really good treats and go back inside and play with her for a few minutes.
If she doesn't go when you go outside (and you just stood there doing nothing and waiting for 10 minutes) then go back inside and go right back in the crate or leashed to you but very boring, don't play with her.
Keep in mind that most puppies will have to go after they eat breakfast, after they eat dinner, after a hard play session so take them outside.
It can be tough but you have to watch them 100% of the time and take them outside a LOT and have a HUGE party, lots of treats, let them know you are very happy when they go outside.
Don't yell or punish her for pottying EVER or she will be afraid to do it around you and will be much more difficult to train.
best advice- keep her with you 100% of the time and keep 1 eye on her... it doesn't take many successful times outside and she'll get the picture.