Welcome to the Forum
There will be at quite a few others on here who can help you.
What were you doing when it failed?
Not trying to take 2 mm cuts with a high feed rate, I hope! It is a small 400 watt brushless DC hobby lathe, not a three phase 10 hp 21" industrial monster.
Starting from a totally simple base
1 ) Is the fuse in the plug intact? (Assumes that power is available at the socket )
IF NO, replace
2 ) Is the fuse on the machine intact? If NO, replace. If you have produced a fault on the board, it may blow again., and then you are in deeper trouble.
3 ) Does the motor run? If Yes then the problem is mechanical in the drive line, (belt or gears )
If NO, THEN you start investigating the board and the motor., and need specialist advice.
There is a Model Engineering Society in Sheffield. Look it up on Google, and join. You will find it useful when you have your lathe up and running again. You will learn a lot, just by talking to and listening to the other members.
Howard