It's not really a noob question because you've started by taking an advanced template and tried to tweak it but this is not really the way to learn Construct.
From what I can see your bullet is using 'animation speed', when it should be using the variable 'speed' which comes from the Family so you have to add waspbullet to the Family and use 'speed'.
For the movement of the enemy it is up to you but you will notice the ship is using 8 direction, not something you mentioned or tried yet, so enemies could use 8 direction also and move about the screen.
Thank you for your answer!
Yeah I tried to go further and put some enemies with 8 direction movement and now there are these skulls spawning and moving towards the "ship".
I'm still trying to understand exactly how that Wasp appeared in such a cool effect (with Z-coordinates)... Not sure how to make those skulls to spawn with such effects as well.
I see the Wasp is having Tween Behaviour. Maybe this is the key reason?
However if i give that skull enemy a Tween Behaviour as well, it completely ruins the "wasp" enemy...
I feel like i'm very close to understanding of cool spawns and effects that were originally presented in that Template. This is basically all i need (if you know that Space Harrier game - it's basically an on rail shooter with random enemies popping out with interesting effects of appearing from far and getting bigger and etc. But it's all just 2D sprites so Construct is perfect for that)