RE: Dont get all email sync from server
The app doesn't sync "all" emails - it syncs a limited number of recent emails.
You can increase how many - long press on the account -> options and folders -> account options. The default is 50 most recent messages (and for Exchange type accounts, 21 days).
Re: when compose to NeW recepient from aqua mail it doesn't get added to memory
App settings -> Contacts -> enable "Auto-Add" (near the end).
The FAQ has more details on working with contacts, including other ways to save them, and on accessing recent emails that are not in phone Contacts.