A: Living Trusts are not filed. You may do so if you choose, but most folks do not file (record) them but instead keep them private. Should you choose to record it, it is done as your local County Recorder's Office, where deeds are recorded.
A: Assuming all the boxes on the standard form POA are checked, then YES. In fact, I am doing just that this very week for another family. Love to help with yours if you wish. Thank you. email@example.com.