That's certainly consistent with the pattern of the beginning of a quarter being a quiet time. We see this lull at the start of each quarter, and I wouldn't at all be surprised to learn that it is a result of required factory maintenance.
For west coast, yes. For east coast, they've gotta put them on a train, and that means batching up many vehicles. The order spreadsheet says that west coast VIN to delivery time is 1-5 days. East coast is 7-21 days.
I did some inspection of the order spreadsheet a few days ago, and last quarter Tesla got through 40 days of orders. If they do that again, they should complete roughly 24 March through 4 May, easily covering your order. With east coast orders generally delivered in the second month of the quarter (August for Q3), that lines up perfectly with your current EDD.
I wonder if Tesla will finally be able to avoid going through an end-of-quarter crunch.