What is RRCConnectionReestablishment in LTE?

It is the downlink LTE RRC message the network sends to accept re-establishment and continue recovery of a broken connected context.

What comes after RRCConnectionReestablishment?

The UE normally responds with RRCConnectionReestablishmentComplete.

What should I inspect first in RRCConnectionReestablishment?

Start with whether recovery was accepted, then inspect the rebuilt dedicated configuration and the following completion step.

How is it different from RRCConnectionSetup?

RRCConnectionSetup creates a new connection. RRCConnectionReestablishment restores an earlier one after failure.