You sound quite normal to me

It is all part and parcel of facing the truth.. people die, and people respond differently at different times. Don't overthink this... go with what you need to do. Don't worry about crying forever... but you might want to find a place to release where you can do so without questions or responsibilities. I know most ppl go the gravesite to do this, but even if you can't... any grave yard allows the same expression... but anyplace you can be alone... it doesn't last forever... but it IS a process.
I've been through it many, many times.... it changes a bit, but it's never easy.