Level 1 can do the job as long as you have enough charging time to replenish the miles you need. Figure about 4 miles of range per hour charge.
There are 2 advantages to L2 other than speed.
1 - It's more efficient, as the cooling pump(s) run for a shorter time. From a economy standpoint of course, $1200 will buy a lot of electricity.
2 - L2 can be safer. Per code, it will be on a dedicated circuit. Duty cycle will be half or less, and better chance that the wiring is adequate. That being said, L1 is not inherently unsafe, but you do need to make sure that the wiring is adequate, and it's not a bad idea to install a new, high quality receptacle. Having an electrician check things out is not a bad idea if you're unfamiliar with wiring issues. Consider that L1 is the equivalent load of running a space-heater on HIGH for up to 20 hours at a time. You want the wiring to be up to snuff. It's a good idea with any EVSE to check initially for any signs of heat build-up during the charge, and re-check occasionally to make sure no problems are developing.
I used L1 for several months until we were able to use L2. Had no problems, but the quicker charging does increase the utility of the vehicle for unplanned trips, etc...
FYI, it's 120V/240V not 110/220 in post-WWII America.