I think it will do everything you need and more .ya im trying not to go over 200 so i might go with the maverick
+1 Used 870s can be a great value when you find the right deal. IF you're on a really tight budget, the maverick will do- that's what I bought when I turned 18 - but a used 870 or mossberg 500 will be money much better spent. For $50-100 more, you get a higher quality gun, made in USA, with a much better accessory market for if you wanna add/remove tube extensions, side saddles, custom barrels, etc.
The good thing about the more expensive guns' accessory aftermarket is that you can reconfigure your one gun for different uses. That ends up being better for your budget, as you don't have to buy different guns for hunting, skeet and HD. Just switch barrels and take of the magazine extension. With the Mavericks, I believe you can switch barrels, but the magazine tube is fixed and not many other accessories are available.