We do have a wiring harness designed for your Equator but I spoke with my contact at Curt Manufacturing and found that the custom fit wiring, # 56087, is not recommended for the 2012 Suzuki Equator.
Since your Equator is not equipped with the factory tow package you will need the wiring harness with relays and a 4-Way flat trailer connector, # C56225. This kit will activate the tow package wiring that is present in your vehicle wiring harness.
To install the Curt wiring on your vehicle... view full answer...
The Hopkins Backup Alert, # HM20101VA, is designed to replace a # 3156 bulb and will not replace the # 921 bulb on your 2010 Suzuki Equator.
Instead, I would recommend looking at the Custer Surface Mount Back-Up Alarm, # BK97DB. This alarm can mount to any surface such the frame or bumper and wires into the reverse light circuit on your truck. Once it is wired in it will send a 97 decibel alert when the truck is placed in reverse. view full answer...