VIIVIIIXIII

I'm about to purchase new coil-overs but they do not include top hats, which means I'll have to either reuse the existing OE, or purchase new (Lemforder is OEM). Do I need front AND rear? Are top hats the same as strut mounts? shock mounts?

Say, theoretically, I'm purchasing coil overs like these (FK Streetline Coilover System):
SMBM9007 - Streetline Coilover System - Non-Adjustable Dampening - ES#2696176

Do I need two of these (front strut mount):
https://www.ecstuning.com/ES2581252/

And two of these (rear shock mount):
https://www.ecstuning.com/ES2718250/

I'm hoping to go this route because I don't want to take apart the OEM struts -- this will save time, labour and ease of installation. After doing some research, many sources state that only the front top hats are required but I've also seen many coil overs will the rear top hats being sold.

Any advice is GREATLY appreciated. Thanks!

For reference: 2004 530i