Aggie,
you should consult your local regulations for the electrical installations. The 20 Amp breaker on a dedicated line loaded with 5 Amp sounds to me a bit overboard, but not incorrect. It is also the responsibility of a qualified and certified "sparky" to assess the suitability / sizing of the cabling and circuit breaker for your boiler circuit(remember that the cabling can cary the rated current all day long, but the circuit breaker can cary only 80% or so of the rated current in continuous service). However, subject of conformance to your local regulation and checking the continuous rating of your breaker, you should be able to load other equipment up to a total of 16 Amps, risking to trip the breaker at the smallest of incidental overload. Any time an internal switch opens or closes, your breaker will trip, sending you to the breaker panel for reset.
cheers,
gr2vessels