If we upgrade our account, is there still a 10 email address limit on the recipients for email notifications?

Also, if we upgrade our account, is there still a 10 email address limit on the distribution list for alerts?

Here are the limits for recipient email addresses: 

Maximum Number of Recipient addresses on an Email Notification: 30 (thirty)

Maximum Number of Recipient addresses on an Autoresponder: 3 (three)

The limits are the same for free and paid accounts, the different between free and paid accounts are related to submissions, views, forms limit, upload space and other limits. 

You could check those limits on our pricing page: https://www.jotform.com/pricing 

The emails sent from the form builder are also limited, this limit changes for free and paid accounts, here are more details: 

MAXIMUM FORM BUILDER EMAILS per DAY (Covers the following function: “Reply”, “Forward”, “Test Emails” and “Share via Email in Publish”).

PAID accounts : limit is 1000/day

Free and Guest accounts  :  20 /day

Hope this helps.