I just ordered and received some parts from them. I had the same issues. The website showed my order recieved and in process for a few days. I emailed and called them for updates with no response. If the website does not list the parts in stock, I believe they need to order them from the manufacturer. I placed my order 7/8 and received my parts 7/15. They sent a status change email 7/12 and a tracking info email 7/16 (yes after I received them).
I also ordered from them about a year ago. They had those parts in stock and they came very quickly.
I would be patient and watch for emails. Some manufacturers take longer to process and ship orders. The customer service leaves something to be desired, but they have very aggressive pricing.
Best of luck with your order.