Hi,
Sorry that AirDroid account won't store any your photos. It just an account to connect your device to your PC.
If you have transfer you data from Note 3 to your PC, now you can sign in AirDroid account on your Note 4 and then sign in the same account to web.airdroid.com to transfer the data from PC to your Note 4.
Feel free to contact us if you need any help.
Sorry that AirDroid account won't store any your photos. It just an account to connect your device to your PC.
If you have transfer you data from Note 3 to your PC, now you can sign in AirDroid account on your Note 4 and then sign in the same account to web.airdroid.com to transfer the data from PC to your Note 4.
Feel free to contact us if you need any help.