Hi Sski,
Regarding beam-on paddling in turns, practice is the key, but you also need to "attack" the turns.
A lot of new paddlers are very tentative as they turn in winds because they feel unstable. They typically reduce their stroke length and cadence, reducing forward momentum to almost nothing.
Funny thing, - rudders don't work unless you're moving, so if you're only travelling slowly, the turn will seem to take forever to accomplish, all the while exposing you to side wind and resulting instability.
Attack the turn. Make sure you're boat is moving quickly BEFORE you engage the rudder.
Don't be too aggressive with your rudder pedals. It's easy to use too much angle on the rudder causing it to "stall" and simply become a brake that washes off speed. Paddle into the turn fast and use the pedals sparingly so you retain momentum.
Drop your hands slightly and apply extra "weight" on the outside blade. This lowers your centre of gravity a bit and more power on the outside gets you around more quickly.
The very deep/bluff bow of a V10 Sports presents a lot of wind area, so that boat in particular can be difficult to turn into a wind.
Regarding remounts, - always remount from the windward side.
To get back in the boat requires tipping the ski slightly toward you. When you do this from the windward side, the wind pressure will work with you to "right" the ski as you get on.
A remount from the leeward side will have the wind working against you by rolling the ski toward (and over) you as you attempt to get in.
Not sure why you'd find a leeward side remount easier though... seems very strange.
Hope this helps a bit. Good luck.