Gmail Access Time Help Needed

Im creating a software in which a single gmail will be accessed a couple of times per hour and it will automatically reply to emails.

my questions is what is the maximum number of access requests allowed per minute or per hour to access gmail.

secondly how many email can i send per day from a single gmail account. NOTE: i will be sending only one email to only one recipients at a time, i just need the number o f maximum outgoing emails per day.

Here's what i found out.
- 500 messages per day (i.e., you can hit 'Send' a maximum of 500 times)
- 500 unique recipients per message
- 2000 total emails per day (for example, you could send one message to a group of 500 people four times)

thats reall a great help, 2000 per day, and a day has 1440 minutes, 2000 divided by 1440 is 1.39, so basically i can send 1 email in every 1.5 minutes, that also gives me access time of 1:1.5 for SMTP connections. thanks