I'd get a carb from Mark at Mark's Off Road or Jim C. Both are super guru's and actually charge reasonable rates for top notch service. If you decide to keep the carb you have, you need to adjust the choke or hook it up. I don't know much about the carb you have, but you can probably get it working better with some tinkering. If it's a Motorcraft 2100, it's a great carb but your still better off with OEM Aisin in my oppinion.
Regarding the brake lights, make sure you have the correct bulbs. Check the contacts in the light sockets and get a meter and see if you have continuity from the brake light switch to the brake light sockets. You may have a broken wire. Also, check the power source for that circuit at the fuse block.
Your transfercase is likely leaking at the emergency brake drum, pretty simple repair but you'll often wind up with it leaking again soon afterwards due the fact that the seal often winds up wearing a groove in the emergency brake drum where it slides into the back of the transfercase. You can fix this by getting a speedy sleeve fitted onto it or by replacing the drum (see below for another option) IIRC you can no longer get the early drum but the late model drum can be swapped on or you can find a good used one. If you're lucky, you can get away with just putting in a new seal. Get the factory service manual, in your case get both the correct one for you year and the later version as well as the newer version is much better with better illustrations and descriptions of what to do. You need a fishing scale (get the Shimano one) and some shims to do this job right. You'll also likely need a new set of brake shoes, a little rubber piece, some small brake parts and maybe an ajuster to get it all as good as new. Don't be intimidated, this is a cool Saturday project.
The best thing to do with these leaky e brake drums is to send the transfercase tail housing off to a guy named Gary Mudrak and have put a special double seal put in it. I think he's in the TLCA directory of shops and is another Cruiser Guru.
Have fun with it.
-Stumbaugh