It does and it will be that way for awhile. It took me a good two years for the constant ups and downs to stop. That doesn't mean I still don't have them, they just don't have them all the time. The thing you really have to do is not force yourself to get over it too fast, grief is apart of the process, and to move forward you need to go through it.
It seems like it goes and comes 20 times a day. I will feel fine and happy then all of a sudden I am at the bottom of the world
Yes it is normal. Like you, I have lost several family members, the last one was my uncle that I was very close to. However the day I lost my dad, was the day death brought me to my knees and it took a long time for me to get up and walk again. I was the opposite of you though, I did not want to be around people. The fact of the matter is that we all grieve in different ways, and if being around others brings you comfort, then there is nothing a wrong with it.