Check out infomaniak. You get an unlimited (inbox storage) email account when you buy or transfer a domain with them.
Has imap, pop3, native apps for iphone and android plus a (imo) really nice webmail client.
The company is very pro privacy too if the important to you.
I’m on my second year as a customer. Can recommend.
Couldnt tell you, but probably. Check their docs, which are pretty comprehensive.