It will be daunting at first, like everything is, but slowly you'll get to know it.
The electrics on the TR7 are basic, ie switches, relays, motors etc. Nothing electronic, like the complicated modern cars.
Cleaning all the earth points is a must, I think there are 6?
The silver relays in your picture are hazard and indicator (standard type that fit many cars). The blue relay is the starter relay. One black one is for the horn, the other black ones are for the headlights.
You can leaver off (with a small screwdriver working around the plastic case) the relay cover (black and blues ones) and clean the relay contacts with fine wet and dry paper. They sometimes corrode.
As I say its all work on-able
Also have a look here, it explains the headlight system clearly. Should help you.
http://www.team.net/TR8/tr8cca/wedgelab ... lights.htm