Make sure the bot is set to "Admin" in your Telegram group.
ChatMod is hosted on AWS, so the only time that it could ever go down is if AWS has a service outage.
Telegram authentication has trouble with using Safari and currently the only way to combat that is to use another browser.
Telegram doesn't provide data, so we have to track it on our own. This means that we can not track history before ChatMod was added to the group.
Unfortunatly, since we are a bootstrapped company and hosting everything on top servers so our service doesn't ever go down, we can not really make exceptions at this time. However, we are setting up a referral program that will help the price go down.
Not at this time, but you never know!