Hi J,
If it's a brand new engine, changing fluids shouldn't be necessary unless it was used as a demonstration model or something like that.
If it's a previously owned "new to you" outboard, then yes, absolutely! Replacement of the oils is standard and recommended along with, possibly, replacing the thermostat, zincs and water pump. This is because you have no real knowledge of the outboard's history unless it belonged to a family member or a very close, trustworthy friend. And, even so, they may not accurately remember what was done and when.
Outboards, like older autos, have lube points that need interval maintenance too as well as the valve "lash" adjustments.
Since these smaller outboards don't have hour meters or odometers you're doing yourself a favor by doing these basic maintenance chores in order to establish a zero point that you can refer to as you operate your new "baby".
The Honda 15 is one of the most rugged and reliable outboards made. It should give you years of near flawless service if you maintain it.
There is a drain on the carburetor. Find it, use it. These carbs do NOT like stale gas or fuel with water in it. Source your fuel carefully and keep it fresh. Run the engine out of fuel and drain the carb anytime the outboard is stored or setting more than a couple of weeks. If you don't do this you will eventually encounter issues with that carburetor.
Welcome to the forum and ask all the questions you want.