Welcome to heathcare Magic!
Your injury is too deep to be managed by home remedies
You should get tetanus
injection if you have not received in past 5years.
The nail probably has got a hematoma
and oozing fluid indicates that is is infected.
You should go to ER and get it drained and dressed at the earliest to avoid sepsis
and bigger complications.
You will also need systemic antibiotics.
Wish you a great health!