For boots there can be no substitute for trying them on. No one can really make recommendations with out seeing your feet. It's all going to depend on your foot shape. So like I said, the key is to find out first how much you want to spend on boots, then from there look at all the offerings in the performance category you have chosen. At 130lbs you could probably get away with a softer flexing boot(80-100), which is good because these boots are going to be less expensive.
One thing to watch out for and to think about would be your growth... At 5'7 130lbs at 16 you are probably pretty confident your going to hit another spurt ?? You may want to hold off on spending the big $ on gear till you are reasonable sure that your feet have stopped growing, feet finish growing first so you may not have to wait long... (my stopped at 15..).
As far as skis go check out the K2 extreme(formerly Public Enemy), I bought a pair when I was your age and they have served me very well. It's a super popular twin tip that does good all over the mountain, you should be able to find tons of discussion on them using the search function. You should be able to pick them up new anywhere form 400-600$, used even cheaper. I recommend used because like I said, spend the money on boots if anywhere, plus once you progress/get taller/gain weight you are going to want a longer pair.
Other then that all I can say is that finding the right gear for you takes time and research. Read as much as you can on this site, come on here everyday and read the new posts in the gear discussion section, pick on some ski mag gear guides, find what looks right for you and then come on here and TGR and search the hell out of it to refine your choices.