I have a public address that doesn't have a private key. Is there anyway to find it
That depends. Where did you get the address and how did you lose the private key.
or get a new one???
No. It is not possible to get a new private key for an address.
Also have an address that won't confirm... been waiting 5 days now. 
Addresses don't confirm. I assume you mean you have a transaction that won't confirm?
In that case there are a few likely reasons. You'd have to provide the transaction ID for us to tell you exactly what's happening and what to do about it.
Likely causes are:
- You paid an insufficient transaction fee
- The inputs to the transaction are unconfirmed
- Your wallet created an invalid transaction
- Your transaction was valid when you created it, but has now become invalid
