I agree with LDS, minimum drum kit 4. Yes, you can do it with less, but with one overhead, you will not get any type of panning. Kick and snare for good mixing options (thump of kick, attack of snare). Bass and guitar(s) with dynamic mics on amplifiers, just leaves the vocals.
Just for information, there are 4 inputs on the Scarlett with pre-amps and 4 line inputs. Usually when recording a full band, you need many mics. Which require pre-amps. In your case you will need, 4x drums, 2-3 for bass and guitars and then at least 1 for vocals. 7 at a minimum, which leaves you three short. I have to assume you will either use outputs from the mixer or you have an ADAT to hook up to your system.
When I recorded a band, I used x7 for the drums, x1 bass, x2 guitar and x2 for vocals. That covered everything pretty nice, used x2 for room mics (kind of a reverb mixing).
Point here is, the Scarlett has 8, but only 4 are ready for use, the other 4 will need to get a pre-amped feed to it.