There is no hard and fast absolute rule here, but generally you want to be a very competent all around rider before getting into park riding. These foundational skills are needed to teach you edge control and every performance concepts to manipulate your board precisely in any situation.
You are not really carving your turns yet so don't make the mistake of thinking any turn is "carving". Once you get beyond basic linked turns and are riding blues, blacks and off piste using dynamic riding skills and are actually competent at basic carved turns on green and blue terrain and experimenting with dynamic carved turns and are also competent at basic skidded turns switch on green terrain, you are ready to start playing around with basic park riding.
One concept that AASI here in the states stresses is "Outside In". In short this means that it is generally best to work on a lot of your park riding concepts outside of the park where you can learn the basics of pop, spin, rebound etc without the pressure and danger of being in a crowded park. Before going into the park, you need some decent foundational riding skills to ensure that you can ride over the features and recover quickly from mistakes and falls. Going into a park before you have these skills makes you a pain in the ass to other riders and endangers your safety and that of others.
You are just starting down a path that will hopefully last you a lifetime. Don't rush it and just enjoy the journey. A solid foundation now is very important so really focus on your basic riding and progress in logical, reasonable steps. As you do this, you will feel it when it's time to push the envelope and get more playful with your riding.
Above all, keep it fun! Too often riders become too obsessed with advancing and competing. They often forget to have fun snowboarding and all too often leave the mountain pissed off because they didn't dial in a new trick. That is a shame; always leave knowing that you had a fun day. Some days you just won't be in the zone to learn new stuff or even ride like you did another day. Go with it and keep fun as job one.
Thanks for the feedback!~
I watched your video's online, and they were very helpful for my first time snowboarding!