Welcome to PC, Dillon!! :D Great to have more new faces here on the forum! I luckily never really lost many of my Pokemon games but did have my Sapphire stolen as a kid ages back. Sounds pretty awful to lose all your DS games, but.. I'm sure you'd be able to build back up again. The GBC/GBA ones are great, too, and one of my very favorites to play. If my brother didn't lose my GBA SP and charger, I'd be replaying Emerald and Crystal a lot.
No worries that you can't trade; just get involved in the forum in other ways and have fun. You're definitely not the only one who isn't able to trade right now (personally I wasn't able to until very recently myself). You'll definitely find lots here that interests you, from clubs and forum games all the way to little neat things like merchandise discussions. Be sure to tell us how you've been faring so far and if you need some help, contact a staff member anytime.
Cheers and have a lovely stay on PokeCommunity! <3 I'm always here to chat if you need it, as is AWsquared and our other amazing members.