Good. Also good that they’re going to have the Pope issue a direct clarification. Anything else, I’m afraid, would lead to claims of illegitimacy among those not happy with the final selection.
I really don’t see any reason for the Conclave to begin later than the fourth. Either begin it Sunday after Mass, or Monday after Mass. It could take up to a week. I find it unlikely the new Pope will be formally installed before Easter either way…but if they start too late, we could be into Palm Sunday either without a Pope, or one only in office for a day or two.
Better to not risk it. Benedict is out on the 28th. Begin the Conclave the third or fourth. Crown the New Pope the Sunday after Easter (actually, when is the “do you love me / feed my sheep” reading? That would be a particularly appropriate time to formally install the Pope).