30 amp breaker. Full load current on the motor is about 10 amps, plus a couple more amps for the other stuff gives you a voltage drop of 2%, less than the allowed 3%, so you're OK. You can run 220 as 2 branch circuits with a shared neutral. It's not really 220 because you can't power 220v equipment, but the voltage between the hot legs of each circuit is indeed 220v. You don't need breakers at the dock for this configuration, but you will need 3 conductors plus ground and a handle tied tandem breaker at the house panel.
Every thing will run fine on one circuit, so there is no advantage except you get 2 circuits. The voltage to ground is the same either way, so there is no added efficiency for the extra voltage.
RTFM
After reading the user manual for this heater, as per National Electrical Code.
National Electrical Code 2011
ARTICLE 110 Requirements for Electrical Installations
I. General
110.3 Examination, Identification, Installation, and Use of Equipment.
(B) Installation and Use. Listed or labeled equipment shall be installed and used in accordance with any instructions included in the listing or labeling.
It appears that it has subdivided heating elements, which requires 2 separate 240 volt 9 ampere branch circuits. It also states that "the electrical connection must be performed by a qualified tradesperson.".
Connect each lamp circuit to a 230 - 240 Vac, 60Hz, 9 Amp copper wire circuit that is properly grounded. Electrical connection must be performed by a qualified electrical tradesperson.
Installation must conform with the latest edition Electrical Code ANSI/NFPA N0 70 in the
U.S.A. and PART 1 CSA C22.1 in Canada.
Select the Conductors
Since you're dealing with space heating equipment, you'll want to check article 424 of the NEC. In article 424, you'll find that the conductors have to be sized to 125% of the load served.
National Electrical Code 2011
ARTICLE 424 Fixed Electric Space-Heating Equipment
III. Control and Protection of Fixed Electric Space-Heating Equipment
424.22 Overcurrent Protection.
(E) Conductors for Subdivided Loads. Field-wired conductors between the heater and the supplementary overcurrent protective devices shall be sized at not less than 125 percent of the load served. The supplementary overcurrent protective devices specified in 424.22(C) shall protect these conductors in accordance with 240.4.
So you'll have to do a bit of math to figure out the minimum ampacity of the conductors.
9 amperes * 125% = 11.25 amperes
Now that you know the minimum ampacity required, you'll want to check article 310.15 to figure out what size wire you need. A quick look at table 310.15(B)(16), shows that 14 AWG wire is good for 15 amperes at 60°C.
Select the Overcurrent Protection Device
Now that you've selected the wire size, you can choose your overcurrent protection device. In this case, you'll want 2 15 ampere dual pole circuit breakers.
Wiring the Circuits
When it comes to wiring the circuit, you have a couple choices. You can pull two 14/2 with ground cables from the panel to the outlet, or you can pull a single 14/2/2 with ground cable.
Two 14/2 with Ground
Pull two 14/2 with ground cables from the panel to the outlet, and connect the heater as follows:
Don't forget to reidentify the white conductors, by marking them in an approved manner.
One 14/2/2 with Ground
A 14/2/2 with ground cable consists of a black, red, white, white with red stripe, and a bare conductor. The only drawback here, would be that since there are more than 3 current carrying conductors, the conductors have to be derated by 80%. Even with the derating, the conductors are still rated for 12 amperes at 60°C. Which is still above the 11.25 amperes required by the circuit, so there should be no problem using this cable (as long as the run is not overly long).
Again, don't forget to reidentify the white conductors.
Best Answer
To just answer your question, You will need #12 AWG wire which is good for 20 Amps and a 20 Amp breaker. If you add more information about the location and the heater, we might be able to help out with the installation.