For the starting issue the first thing to check on an Intruder is the battery. Even if you think it's good take the battery to an auto parts store and have it load tested. Make sure the terminals are clean and tight, use sandpaper to clean them. Don't forget to trace out the negative cable to where it grounds and clean it. When putting the battery back in add star washers to the terminal bolts, they tend to vibrate loose and the star washers will keep them tight.
When starting it in the cold make sure to turn the enricher (choke) on then turn on the key, leave the clutch out and press the start button. You will hear the fuel pump prime the carbs. Once they are primed the pump should stop then pull the clutch and press start. This is assuming that your clutch safety has not been bypassed, if it has you can't prime the carbs.
If you don't already have one get a battery tender. You can hook up the lead to the two connection points at the bottom of your fuse box under the left side cover.
If you don't know how long it has been sitting fresh gas may help and be sure to check the tank for excessive gas.
If you need a service manual send me a PM with your email and I can send PDF version compliments of
Herb
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If you have any type of electrical issue, have your battery load tested before you do anything else. Any auto parts store will test it for free.