I am trying to built an application that uses the BIP-32. But I am not sure on how to use it.

I have a passphrase with which I generate the Derived Private Key and Derived Public Key. If I share my Derived Public Key with a second wallet will the wallet be able to generate others Derived Public Key from it ? Is it possible ?

And since I have the original Derived Private Key with me, can I see what is happening in the second wallet ?

Also if I loose both the Derived Private Key and Derived Public Key, will I be able to recover my wallets using only the Passphrase ?