I am so very sorry you lost your Dad. I can only give you an NTs perspective, but I hope I can help just a little.
Grieving is a process. It can't be rushed nor can it be broken down into a list of things that you can do to feel better. You probably won't feel better for a long time, and for that, my heart goes out to you. Being around the ones you love may help. Alone time may be not such a good idea right now, if you can help it. It may be your normal way to cope, but, shutting down and/or avoidance may just put off your grieving. If you can, try to reach out to others who are grieving too. They will be able to support you during this terrible time. And try not to feel bad if you don't seem to be grieving in a "socially accepted way". There is no one socially acceptable way to grieve and everybody grieves differently -- aspies and NTs. Just do what comes naturally, and if you feel like you're not coping well, reach out and get some love from your family and friends.
Be well, and again, sorry for your loss
Feyhera