The limit applies per connection, not per account (except for JOIN), so as long as you limit each connection according to the rate limits you will be fine. Make sure the bot is modded in each channel to use the higher limit (you should however apply the lower limit to your code, in case it’s unmodded somewhere).
If you find yourself getting close to the limits, you can simply spread out the bot’s actions over multiple connections/instances (let each connection manage a limited amount of channels depending on activity etc)
If you send more than 20 commands or messages to the server within a 30 second period, you will get locked out for 8 hours automatically. These are not lifted so please be careful when working with IRC!
Mods can type 100 messages in a channel before hitting this rate limit. If a message is sent to a room in which your global message count is already too high, you will be disconnected.