Your new objective is to follow Lady Comstock's spectral trails that will appear on the ground. As for the tears you're looking for, they're marked on the map: point number 3 is Lutece Labs, point number 4 is the Bank of the Prophet and point number 5 is the Photo Studio.
Let's start with Lutece Labs by heading to the right of the exit from the Memorial Gardens. Be on a look out for the Magical Melodies building floating to the left of the sunken street. Locate an opening in the wall and head inside. Aside from a red tear with Cindy Lauper's music you'll also find locksmith's set and Voxophone #62 here.
Proceed to the Market district located just around the corner. Stop after encountering a Dollar Bill machine and find a new lockpick near the barrels.
The entrance to the laboratory is being guarded by several revolutionists. Once you've dealt with them ask Elizabeth to break the lock and head inside.
Find a lockpick in a dark corner near the entrance, behind a screen.
Go to the next room, but instead of heading directly towards the Lutece machine use the stairs leading to the first floor. Check the bedroom on the upper floor to find a Voxophone #63 stuffed between a bed and a drawer.
There's an Infusion #21 in the same room, next to the beak of Lutece's machine.
Once you've fully explored the first floor return to the ground floor and enter a kitchen located to the right of the machine. Locate Voxophone #64 near a board.
Go back to the main room and open the first tear you were searching for. Wait for the tear to close again, because it will drop Voxophone #65.