Could be teething problems as you are doing something new to you.
Is the belt on the correct setting? It should be on the slower speed setting.
As for stalling, this is usually due to pushing too hard, and not letting the blade cut bit by bit.
Is the tailstock shaft locked down and is the morse taper piece really locked into the tailstock shaft? If this isn't done, then the unit can move ever so slightly and it doesn't cut very well, if at all. I usually gently tap the morse taper bit into the tailstock shaft to lock it into position.
Is the shaft that goes into your toolpost hole, 25.4mm (1 inch). This is critical with the Revo toolpost clamping system. I have the Revo 24/36 lathe, everything is pretty much the same, except for the size difference. If you have a 25mm shaft (63/64ths) it won't clamp the shaft securely enough on these lathes.
I have an earlier Woodcut three blade coring system. I find the best way is to have a gloved left hand and have my left hand resting on the blade to lessen the vibrations in certain sections as you work your way to the centre, or nearly to the centre. I have my hand gloved as the temperature of the (sometimes) steaming wood, is uncomfortable.
I wouldn't be in a hurry to change the blade at this stage, Woodcut have a pretty good idea of what they are doing.
Have you seen any of the tutorial style of videos referenced on Woodcuts site? From memory they pretty much go through everything required, step by step.
Power shouldn't be a problem, while I usually run on my Revo 2436, which has around 2230W, your unit will be around 1500W, which is ample. A few weeks ago I was coring on a lathe with my Woodcut corer on a 750W machine, patience was the go.
Is the tenon of a decent size? With green wood it is possible to rip the tenon off if it isn't long enough, I know as I've done that. Looking at your tenon it looks wide enough, but I'm not sure about your tenon depth. These days, I'm now a very generous tenon length maker with very green wood.
I also find that as the cutter starts to cut end grain, meaning you are getting closer to the centre, I need to up the revs a bit to keep the cutting speed relatively the same as when I started the cutting on the outer edge. If I don't up the speed slightly, I've found I can bog (or stall) the lathe momentarily.
I also find that I'm constantly pushing the blade in, then pulling it out to clear it. Failure to constantly do this, usually makes life harder.