I got my snowboard last season in February, and took it out once then. Great ride, no gashes then. Have not ever waxed the board. Decided to go riding one day this season yesterday and it was great. Did no park stuff, just smooth riding all day. Looked at my board as I was putting it back in the bag and saw a bunch of gashes in it. Also rust.
That's nothing take a look at some of the other post's and you can see what a big gash is. Those aren't going to drastically affect your performance as they run along the base of your board. If you really want to though just take it to a shop and get them to put some P-Tex in the dent. By the looks of it you could also use a base wax as your base is starting to dry out, you can tell this when your base starts to turn a greyish-white color. As for the rust it's most likely because your placing your board right into your bag after your done riding and not allowing your edges to dry out before then, you can prevent this by just wiping down your edges with a old towel or something before you put it in you bag. Overall though it's not a big deal and will probably wear off after a couple solid days of riding but if it doesn't just take a gummy stone to it or ask you shop to take care of it.
The gashes aren't too bad. You should definitely fill those holes with ptex though. Go to your local shop and buy some ptex candles and youtube how to fill gouges. There are a bunch of tutorials on youtube.
A gummi stone will take off that rust. Mine gets like that if I forget to wipe it down, which is often 'cause I'm flighty (read: high). Your local shop can take care of all of it, or you do it yourself. Like previous posters said, there are tons of tutorials floating around the interwebs.
and no, if you took it to get waxed it would not have solved your problems...rocks, sticks, stumps, trees, rails, ice chunks, etc are all harder than wax, and most are harder than your base (especially at speed). Scraps are normal. Welcome to snowboarding.