I got full marine but I don't have the achievement.
It was the same with the hitting air achievement.
do I have to wait some time before they take place?

wait untill your achievements are updated.

Which, to actually be helpful, is every 24 hours.
So if you just recently got these, wait a bit more.
If you think you should've had them a while ago, then try asking an admin (bold red name) to give them to you.
And you could always try emailing [email protected].