fuwastep and fuwafuwa are really just tools to vary up your movement and keep your opponents guessing as to when you'll land and when they can actually punish. They're more useful for ranged fights instead of dealing with a melee suit like Bael, Epyon, Master, etc. so they aren't a big factor in your case. Boost hopping should be your main way of moving around, so focus on that first and incorporate the others when you feel more natural with it.
If you're worried about losing boost, just relax on what you're doing. You don't always need to dump resources and mash boost dash each cycle. Dumping everything and overheating a lot just makes things very predictable and easy to punish. Just boost hopping and pressing nothing is perfectly fine in neutral. That will help with boost management which leaves you more free to do other things in a pinch.
As for not hitting people as often as you get hit: try to only shoot when someone lands, stalls from attacking, or is at a bad angle. Force them into bad angles with positioning between you and your partner, or your suit's secondary attacks (like assists or funnels). This will help your accuracy a lot.
I don't play Mk II, but I'd recommend Crossbone X-1 Kai for you. It's one of the first suits I started with in the older games and has a lot of excellent tools and is great for beginners and scales very well with experience IMO. Plus it's incredibly good in MBON, and can work with pretty much any suit from my experience, which is very useful if you don't have a dedicated partner online. If you have a strong front, you can follow them for support. If you have a strong back suit, you can play front and overwhelm enemies with close range attacks. It also has very strong anti-melee tools and an anti-beam mantle which makes for a great set of training wheels.