certainly don’t to a mass send out to a dear sir/madam, find out who there principal senior designer is call them up and have a chat to grasp what they are looking for. It will save you alot of time.
Wack some work up on coroflot to give you some web presence and also the chance for the boards to crit your work.
Get out to design events and get talking & networking with people, alot of jobs aren’t advertised.
Finally don’t be to picky if you have no experience, your much more employable if have some work experience. for example in my first job I did GA drawings for mobile phone accessory’s