as you've only missed one, almost two, periods, it's unlikely a blood test will indicate much about the menopause, the results would not be very reliable because of hormonal fluctuations. maybe a good idea to visit your gp but to be honest, if it were me (and i did go through something similar a number of years ago when my mum died) i'd just wait and see for another few weeks.
you know you're not pregnant, if it is the start of menopause what would you want the doctor to do about it, and if it is all down to the trauma you've had lately then your periods will start again at some point.
these are just my thoughts and opinions, obviously you must do what ever you feel is right.