At rated output, 1000 watts, your inverter will draw about 100 amps. Of course, at the surge rating of 4000 watts, the draw will be around 400 amps. You need to decide how much of the surge rating you will actually use: quite a lot for starting motors, but almost none for resistive loads like stoves. Then, you can fuse accordingly, from 150 Amps to 400 amps, your choice.
Once you have decided on the fuse, you can select the dc wire, which will need to be rated differently depending whether any of it is in the engine room or not. The wire will need to be anywhere from 2 AWG to 4/0,, per the chart. Refer to the abyc chart on my web site.
http://www.geocities.com...t_codes/ABYC_codes.html
When you have chosen the wire size, calculate its resistance from the ohms/1000' column, you will have a couple of feet, and check the manufacturer's info. They will spec a maximum resistance in the leads, or a maximum voltage drop, or some such.
On the 120 V side, you might consider putting the whole boat on it. If the unit has a battery charger, then it has a transfer switch already. You can wire the dock power to the "120 volt in" and the boat's ac panel to the "120 volt out". This will put a load of more than 1000 watts on the built-in transfer switch when operating everything from shore power, but it should be OK because it is less than the inverter's surge rating.
You can pull 15 amps ac (1500 watts) from a plug, but if you want to put the whole boat on it, that won't be enough and you will need to hardwire, which is probably better anyway.
If you only want certain breakers to be fed from the inverter, then you will need to do some wiring on your ac panel.
It would be a big help to have model numbers and such. I could probably be more specific with more information.
1975 32' Flybridge Sedan, twin Perkins 6-354 diesels, 1:1.53 velvetdrives, 16 X 19 props. Merritt Island, Florida