Retrieval of data from time capsule

My MacBook Pro was declared dead yesterday. I bought a MacBook Air to replace it.

I paid to have data transfer from my time capsule. We are two using it. I got home and found out my data was not on the MacBook Air.

I need to:

(1) delete the data that is not mine

(2) retrieve my data from the time capsule.

Since my MacBook Pro was dying/ corrupted for over a week, I was informed that some of the backup is partial. I need to go back to the last complete backup.

Your help in explaining how to (1) delete and (2) retrieve the data would be greatly appreciated.