This is why I like Wordpress, stuff like this is a simple plugin install away. Caching, analytics, forms, membership sites etc. can all be set up as free plugins (you can pay for more advanced features though).
I do think that over time, my WordPress sites saved me a lot of time compared to the custom-built ones. On my custom sites I use a similar service to sendfly: https://web3forms.com/
PS: I emailed you regarding WordPress and https://wplytic.com, I hope it's ok.