You need a 2x4 (2 in x 4 out) interface like Apogee Duet 2. You will also need a separate Reamp box, like Radial X Amp or Little Labs Redeye 3D Phantom. The Duet will record your DI signal (instrument level) and a mic (line level) at the same time just fine. But... when you reamp, you will need...
Here's a blog post about how to mic a speaker cabinet for recording: Idiot-Proof Electric Guitar & Bass Mic Technique https://michaeljamesproducer.wordpress.com/2015/03/15/idiot-proof-electric-guitar-bass-mic-technique/ Hopefully you'll find it helpful.
Re: EQ, try to capture the tone at the...