I admire your concern.
I guess it is grief reaction due to decase father.
It is comon reaction after lost of loved one.
I can understand your emotion.
No need of antidepressant. it will only given if symtoms are persist for more than 1 month.
This kind of condition can be treated with mild dose of anxiolytic and which is also help to get good sleep.
I prefer low dose of etizolam
orclonazepam etc in such kind of patients.
Besides this you have to keep your self busy.
Try out to maintain daily routines.
Keep taking with friends and family members.
fix sleep schedule and stick on it
no day time sleep
free activities and meditations
avoid alcohol and smoking
Avoid tea coffee soft drink at night.
All of this will help you to restore good sleep.
Hope for the best.
Get well soon.