Batch Analysis tool allows to check up to 200 domains/URLs at a time with any paid subscription.
Limit for amount of monthly searches is pre-defined by subscription type and is counted in Units:
Lite - 25K units per month;
Standard - 100K;
Advanced - 400K;
and Agency - 1M.
Each query to Batch Analysis counts more than a single unit based on internal procedure needed for getting this request processed.
Thus to analyse a single domain with BA tool may cost you 2, 3 or more units.
Amount of remaining units for working with Batch Analysis tool you may check with "Subscription Plan" page.