No, it's not an issue to charge on a basic plug for most people. You can get 5 miles per hour on 120v. When charged overnight it is plenty for the average commute.
Yup. Several people have commented that they planned on installing an EVSE ("charger") when they bought an EV but never bothered after finding out that 120V was enough. 120V will let you empty the battery on the weekend, commute and errands during the week and then have a full battery by Friday.